{
  "title": "Graphical Meaning of Zeros - Grade 10 CBSE",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "How many zeros does the polynomial y = x - 2 have?", "options": {"A": "0", "B": "1", "C": "2", "D": "3"}, "correct_answer": "B"},
    {"id": 2, "difficulty": "easy", "question": "The graph of y = x + 3 crosses x-axis at:", "options": {"A": "x = 3", "B": "x = -3", "C": "x = 0", "D": "x = 1"}, "correct_answer": "B"},
    {"id": 3, "difficulty": "easy", "question": "How many times does y = x² - 4 touch/cross x-axis?", "options": {"A": "0", "B": "1", "C": "2", "D": "3"}, "correct_answer": "C"},
    {"id": 4, "difficulty": "easy", "question": "The zero of y = 2x - 6 is:", "options": {"A": "x = 2", "B": "x = 3", "C": "x = 6", "D": "x = -3"}, "correct_answer": "B"},
    {"id": 5, "difficulty": "easy", "question": "At which point does y = x + 1 intersect x-axis?", "options": {"A": "(1,0)", "B": "(-1,0)", "C": "(0,1)", "D": "(0,-1)"}, "correct_answer": "B"},
    {"id": 6, "difficulty": "easy", "question": "How many zeros does y = x² have?", "options": {"A": "0", "B": "1", "C": "2", "D": "3"}, "correct_answer": "B"},
    {"id": 7, "difficulty": "easy", "question": "The graph of y = 3x - 9 crosses x-axis at:", "options": {"A": "x = 9", "B": "x = 3", "C": "x = -3", "D": "x = -9"}, "correct_answer": "B"},
    {"id": 8, "difficulty": "easy", "question": "y = x² - 9 has zeros at:", "options": {"A": "x = 3 only", "B": "x = -3 only", "C": "x = 3 and x = -3", "D": "x = 9 only"}, "correct_answer": "C"},
    {"id": 9, "difficulty": "easy", "question": "The zero of y = 4x + 8 is:", "options": {"A": "x = 2", "B": "x = -2", "C": "x = 4", "D": "x = -4"}, "correct_answer": "B"},
    {"id": 10, "difficulty": "easy", "question": "How many x-intercepts does y = x² - 1 have?", "options": {"A": "0", "B": "1", "C": "2", "D": "3"}, "correct_answer": "C"},
    {"id": 11, "difficulty": "easy", "question": "The graph of y = x - 5 crosses x-axis at:", "options": {"A": "(-5,0)", "B": "(5,0)", "C": "(0,5)", "D": "(0,-5)"}, "correct_answer": "B"},
    {"id": 12, "difficulty": "easy", "question": "y = x² + 1 has how many real zeros?", "options": {"A": "0", "B": "1", "C": "2", "D": "3"}, "correct_answer": "A"},
    {"id": 13, "difficulty": "easy", "question": "The zero of y = 2x + 10 is:", "options": {"A": "x = 5", "B": "x = -5", "C": "x = 10", "D": "x = -10"}, "correct_answer": "B"},
    {"id": 14, "difficulty": "easy", "question": "y = x² - 25 intersects x-axis at:", "options": {"A": "x = 5 only", "B": "x = -5 only", "C": "x = 5 and x = -5", "D": "x = 25 only"}, "correct_answer": "C"},
    {"id": 15, "difficulty": "easy", "question": "How many times does y = x - 7 cross x-axis?", "options": {"A": "0", "B": "1", "C": "2", "D": "3"}, "correct_answer": "B"},
    {"id": 16, "difficulty": "easy", "question": "The graph of y = 5x - 15 meets x-axis at:", "options": {"A": "x = 15", "B": "x = 3", "C": "x = -3", "D": "x = 5"}, "correct_answer": "B"},
    {"id": 17, "difficulty": "easy", "question": "y = x² - 16 has zeros:", "options": {"A": "x = 4 only", "B": "x = -4 only", "C": "x = 4 and x = -4", "D": "x = 16 only"}, "correct_answer": "C"},
    {"id": 18, "difficulty": "easy", "question": "The zero of y = 3x + 12 is:", "options": {"A": "x = 4", "B": "x = -4", "C": "x = 12", "D": "x = -12"}, "correct_answer": "B"},
    {"id": 19, "difficulty": "easy", "question": "How many x-intercepts does y = x² - 36 have?", "options": {"A": "0", "B": "1", "C": "2", "D": "3"}, "correct_answer": "C"},
    {"id": 20, "difficulty": "easy", "question": "y = x + 4 crosses x-axis at:", "options": {"A": "x = 4", "B": "x = -4", "C": "x = 0", "D": "x = 1"}, "correct_answer": "B"},
    {"id": 21, "difficulty": "medium", "question": "For y = x² - 5x + 6, the graph intersects x-axis at:", "options": {"A": "x = 2, 3", "B": "x = -2, -3", "C": "x = 1, 6", "D": "x = -1, -6"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "The number of zeros of y = x³ - x is:", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "C"},
    {"id": 23, "difficulty": "medium", "question": "y = x² - 3x + 2 touches x-axis at:", "options": {"A": "x = 1 only", "B": "x = 2 only", "C": "x = 1 and x = 2", "D": "Does not touch x-axis"}, "correct_answer": "C"},
    {"id": 24, "difficulty": "medium", "question": "For polynomial y = x² + 4x + 4, the graph:", "options": {"A": "Crosses x-axis at two points", "B": "Touches x-axis at one point", "C": "Does not meet x-axis", "D": "Crosses x-axis at one point"}, "correct_answer": "B"},
    {"id": 25, "difficulty": "medium", "question": "y = x³ - 4x has zeros at:", "options": {"A": "x = 0 only", "B": "x = 0, 2", "C": "x = 0, 2, -2", "D": "x = 0, 4"}, "correct_answer": "C"},
    {"id": 26, "difficulty": "medium", "question": "The graph of y = x² - 2x - 3 intersects x-axis at:", "options": {"A": "x = -1, 3", "B": "x = 1, -3", "C": "x = 1, 3", "D": "x = -1, -3"}, "correct_answer": "A"},
    {"id": 27, "difficulty": "medium", "question": "y = x² + 2x + 1 has:", "options": {"A": "Two distinct zeros", "B": "One zero (repeated)", "C": "No real zero", "D": "Three zeros"}, "correct_answer": "B"},
    {"id": 28, "difficulty": "medium", "question": "For y = 2x² - 8, the x-intercepts are:", "options": {"A": "x = 2 only", "B": "x = -2 only", "C": "x = 2 and x = -2", "D": "x = 4 and x = -4"}, "correct_answer": "C"},
    {"id": 29, "difficulty": "medium", "question": "y = x³ - 9x has how many real zeros?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "C"},
    {"id": 30, "difficulty": "medium", "question": "The graph of y = x² - 6x + 9:", "options": {"A": "Crosses x-axis at two points", "B": "Touches x-axis at x = 3", "C": "Does not meet x-axis", "D": "Crosses x-axis at x = 9"}, "correct_answer": "B"},
    {"id": 31, "difficulty": "medium", "question": "y = x² - 7x + 12 intersects x-axis at:", "options": {"A": "x = 3, 4", "B": "x = -3, -4", "C": "x = 2, 6", "D": "x = -2, -6"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "For y = x³ - 8, number of real zeros is:", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "y = 3x² - 12 has zeros:", "options": {"A": "x = 2 only", "B": "x = -2 only", "C": "x = 2 and x = -2", "D": "x = 4 and x = -4"}, "correct_answer": "C"},
    {"id": 34, "difficulty": "medium", "question": "The graph of y = x² + 6x + 9:", "options": {"A": "Crosses x-axis twice", "B": "Touches x-axis at x = -3", "C": "Does not meet x-axis", "D": "Crosses x-axis at x = 3"}, "correct_answer": "B"},
    {"id": 35, "difficulty": "medium", "question": "y = x³ + x² - 4x - 4 has zeros at:", "options": {"A": "x = 1, 2, -2", "B": "x = -1, 2, -2", "C": "x = 1, -2, 2", "D": "x = -1, -2, 2"}, "correct_answer": "B"},
    {"id": 36, "difficulty": "medium", "question": "For y = x² - 8x + 16, the graph:", "options": {"A": "Crosses x-axis at two points", "B": "Touches x-axis at x = 4", "C": "Does not meet x-axis", "D": "Crosses x-axis at x = 8"}, "correct_answer": "B"},
    {"id": 37, "difficulty": "medium", "question": "y = 2x² - 18 has x-intercepts:", "options": {"A": "x = 3 only", "B": "x = -3 only", "C": "x = 3 and x = -3", "D": "x = 9 and x = -9"}, "correct_answer": "C"},
    {"id": 38, "difficulty": "medium", "question": "The polynomial y = x³ - 27 has:", "options": {"A": "1 real zero", "B": "2 real zeros", "C": "3 real zeros", "D": "No real zero"}, "correct_answer": "A"},
    {"id": 39, "difficulty": "medium", "question": "y = x² - 10x + 25 touches x-axis at:", "options": {"A": "x = 5", "B": "x = -5", "C": "x = 10", "D": "x = 25"}, "correct_answer": "A"},
    {"id": 40, "difficulty": "medium", "question": "For y = 4x² - 16, zeros are:", "options": {"A": "x = 2 only", "B": "x = -2 only", "C": "x = 2 and x = -2", "D": "x = 4 and x = -4"}, "correct_answer": "C"},
    {"id": 41, "difficulty": "medium", "question": "y = x³ - 6x² + 11x - 6 has zeros:", "options": {"A": "x = 1, 2, 3", "B": "x = -1, -2, -3", "C": "x = 1, 2, -3", "D": "x = -1, 2, 3"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "medium", "question": "The graph of y = x² + 8x + 16:", "options": {"A": "Crosses x-axis twice", "B": "Touches x-axis at x = -4", "C": "Does not meet x-axis", "D": "Crosses x-axis at x = 4"}, "correct_answer": "B"},
    {"id": 43, "difficulty": "medium", "question": "y = x² - 11x + 30 intersects x-axis at:", "options": {"A": "x = 5, 6", "B": "x = -5, -6", "C": "x = 3, 10", "D": "x = -3, -10"}, "correct_answer": "A"},
    {"id": 44, "difficulty": "medium", "question": "For y = 9x² - 4, x-intercepts are:", "options": {"A": "x = 2/3 only", "B": "x = -2/3 only", "C": "x = 2/3 and x = -2/3", "D": "x = 4/9 and x = -4/9"}, "correct_answer": "C"},
    {"id": 45, "difficulty": "medium", "question": "y = x³ + 2x² - x - 2 has zeros:", "options": {"A": "x = 1, -1, -2", "B": "x = 1, -1, 2", "C": "x = -1, 1, 2", "D": "x = -1, -2, 2"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "medium", "question": "The graph of y = x² - 12x + 36:", "options": {"A": "Crosses x-axis at two points", "B": "Touches x-axis at x = 6", "C": "Does not meet x-axis", "D": "Crosses x-axis at x = 12"}, "correct_answer": "B"},
    {"id": 47, "difficulty": "medium", "question": "y = 16x² - 25 has zeros:", "options": {"A": "x = 5/4 only", "B": "x = -5/4 only", "C": "x = 5/4 and x = -5/4", "D": "x = 25/16 and x = -25/16"}, "correct_answer": "C"},
    {"id": 48, "difficulty": "medium", "question": "For y = x³ - 12x, number of x-intercepts is:", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "C"},
    {"id": 49, "difficulty": "medium", "question": "y = x² - 13x + 42 crosses x-axis at:", "options": {"A": "x = 6, 7", "B": "x = -6, -7", "C": "x = 3, 14", "D": "x = -3, -14"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "medium", "question": "The graph of y = 25x² - 1:", "options": {"A": "Touches x-axis at one point", "B": "Crosses x-axis at x = 1/5 and x = -1/5", "C": "Does not meet x-axis", "D": "Crosses x-axis at x = 5 and x = -5"}, "correct_answer": "B"},
    {"id": 51, "difficulty": "medium", "question": "y = x³ - 7x + 6 has zeros:", "options": {"A": "x = 1, 2, -3", "B": "x = 1, 2, 3", "C": "x = -1, -2, 3", "D": "x = -1, 2, 3"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "medium", "question": "For y = x² + 10x + 25, the graph:", "options": {"A": "Crosses x-axis twice", "B": "Touches x-axis at x = -5", "C": "Does not meet x-axis", "D": "Crosses x-axis at x = 5"}, "correct_answer": "B"},
    {"id": 53, "difficulty": "medium", "question": "y = 36x² - 49 has x-intercepts:", "options": {"A": "x = 7/6 only", "B": "x = -7/6 only", "C": "x = 7/6 and x = -7/6", "D": "x = 49/36 and x = -49/36"}, "correct_answer": "C"},
    {"id": 54, "difficulty": "medium", "question": "The polynomial y = x³ + 8 has:", "options": {"A": "1 real zero", "B": "2 real zeros", "C": "3 real zeros", "D": "No real zero"}, "correct_answer": "A"},
    {"id": 55, "difficulty": "medium", "question": "y = x² - 14x + 49 touches x-axis at:", "options": {"A": "x = 7", "B": "x = -7", "C": "x = 14", "D": "x = 49"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "medium", "question": "For y = 64x² - 9, zeros are:", "options": {"A": "x = 3/8 only", "B": "x = -3/8 only", "C": "x = 3/8 and x = -3/8", "D": "x = 9/64 and x = -9/64"}, "correct_answer": "C"},
    {"id": 57, "difficulty": "medium", "question": "y = x³ - 5x² - x + 5 has zeros at:", "options": {"A": "x = 1, 5, -1", "B": "x = 1, 5, 1", "C": "x = -1, 5, 1", "D": "x = -1, -5, 1"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "medium", "question": "The graph of y = x² + 12x + 36:", "options": {"A": "Crosses x-axis twice", "B": "Touches x-axis at x = -6", "C": "Does not meet x-axis", "D": "Crosses x-axis at x = 6"}, "correct_answer": "B"},
    {"id": 59, "difficulty": "medium", "question": "y = 81x² - 16 has zeros:", "options": {"A": "x = 4/9 only", "B": "x = -4/9 only", "C": "x = 4/9 and x = -4/9", "D": "x = 16/81 and x = -16/81"}, "correct_answer": "C"},
    {"id": 60, "difficulty": "medium", "question": "For y = x³ - 10x² + 31x - 30, number of x-intercepts is:", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "C"},
    {"id": 61, "difficulty": "medium", "question": "y = x² - 15x + 56 intersects x-axis at:", "options": {"A": "x = 7, 8", "B": "x = -7, -8", "C": "x = 5, 11", "D": "x = -5, -11"}, "correct_answer": "A"},
    {"id": 62, "difficulty": "medium", "question": "The graph of y = 100x² - 1:", "options": {"A": "Touches x-axis at one point", "B": "Crosses x-axis at x = 1/10 and x = -1/10", "C": "Does not meet x-axis", "D": "Crosses x-axis at x = 10 and x = -10"}, "correct_answer": "B"},
    {"id": 63, "difficulty": "medium", "question": "y = x³ - 13x + 12 has zeros:", "options": {"A": "x = 1, 3, -4", "B": "x = 1, 3, 4", "C": "x = -1, -3, 4", "D": "x = -1, 3, 4"}, "correct_answer": "A"},
    {"id": 64, "difficulty": "medium", "question": "For y = x² + 14x + 49, the graph:", "options": {"A": "Crosses x-axis twice", "B": "Touches x-axis at x = -7", "C": "Does not meet x-axis", "D": "Crosses x-axis at x = 7"}, "correct_answer": "B"},
    {"id": 65, "difficulty": "medium", "question": "y = 121x² - 4 has x-intercepts:", "options": {"A": "x = 2/11 only", "B": "x = -2/11 only", "C": "x = 2/11 and x = -2/11", "D": "x = 4/121 and x = -4/121"}, "correct_answer": "C"},
    {"id": 66, "difficulty": "medium", "question": "The polynomial y = x³ + 27 has:", "options": {"A": "1 real zero", "B": "2 real zeros", "C": "3 real zeros", "D": "No real zero"}, "correct_answer": "A"},
    {"id": 67, "difficulty": "medium", "question": "y = x² - 16x + 64 touches x-axis at:", "options": {"A": "x = 8", "B": "x = -8", "C": "x = 16", "D": "x = 64"}, "correct_answer": "A"},
    {"id": 68, "difficulty": "medium", "question": "For y = 144x² - 25, zeros are:", "options": {"A": "x = 5/12 only", "B": "x = -5/12 only", "C": "x = 5/12 and x = -5/12", "D": "x = 25/144 and x = -25/144"}, "correct_answer": "C"},
    {"id": 69, "difficulty": "medium", "question": "y = x³ - 6x² + 5x + 12 has zeros at:", "options": {"A": "x = -1, 3, 4", "B": "x = 1, 3, 4", "C": "x = -1, -3, 4", "D": "x = 1, -3, 4"}, "correct_answer": "A"},
    {"id": 70, "difficulty": "medium", "question": "The graph of y = x² + 16x + 64:", "options": {"A": "Crosses x-axis twice", "B": "Touches x-axis at x = -8", "C": "Does not meet x-axis", "D": "Crosses x-axis at x = 8"}, "correct_answer": "B"},
    {"id": 71, "difficulty": "medium", "question": "y = 169x² - 9 has zeros:", "options": {"A": "x = 3/13 only", "B": "x = -3/13 only", "C": "x = 3/13 and x = -3/13", "D": "x = 9/169 and x = -9/169"}, "correct_answer": "C"},
    {"id": 72, "difficulty": "medium", "question": "For y = x³ - 3x² - 6x + 8, number of x-intercepts is:", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "C"},
    {"id": 73, "difficulty": "medium", "question": "y = x² - 17x + 72 crosses x-axis at:", "options": {"A": "x = 8, 9", "B": "x = -8, -9", "C": "x = 6, 12", "D": "x = -6, -12"}, "correct_answer": "A"},
    {"id": 74, "difficulty": "medium", "question": "The graph of y = 196x² - 1:", "options": {"A": "Touches x-axis at one point", "B": "Crosses x-axis at x = 1/14 and x = -1/14", "C": "Does not meet x-axis", "D": "Crosses x-axis at x = 14 and x = -14"}, "correct_answer": "B"},
    {"id": 75, "difficulty": "medium", "question": "y = x³ - 9x² + 26x - 24 has zeros:", "options": {"A": "x = 2, 3, 4", "B": "x = -2, -3, -4", "C": "x = 2, 3, -4", "D": "x = -2, 3, 4"}, "correct_answer": "A"},
    {"id": 76, "difficulty": "medium", "question": "For y = x² + 18x + 81, the graph:", "options": {"A": "Crosses x-axis twice", "B": "Touches x-axis at x = -9", "C": "Does not meet x-axis", "D": "Crosses x-axis at x = 9"}, "correct_answer": "B"},
    {"id": 77, "difficulty": "medium", "question": "y = 225x² - 16 has x-intercepts:", "options": {"A": "x = 4/15 only", "B": "x = -4/15 only", "C": "x = 4/15 and x = -4/15", "D": "x = 16/225 and x = -16/225"}, "correct_answer": "C"},
    {"id": 78, "difficulty": "medium", "question": "The polynomial y = x³ + 64 has:", "options": {"A": "1 real zero", "B": "2 real zeros", "C": "3 real zeros", "D": "No real zero"}, "correct_answer": "A"},
    {"id": 79, "difficulty": "medium", "question": "y = x² - 18x + 81 touches x-axis at:", "options": {"A": "x = 9", "B": "x = -9", "C": "x = 18", "D": "x = 81"}, "correct_answer": "A"},
    {"id": 80, "difficulty": "medium", "question": "For y = 256x² - 9, zeros are:", "options": {"A": "x = 3/16 only", "B": "x = -3/16 only", "C": "x = 3/16 and x = -3/16", "D": "x = 9/256 and x = -9/256"}, "correct_answer": "C"},
    {"id": 81, "difficulty": "hard", "question": "The graph of y = x³ - 6x² + 11x - 6 cuts x-axis at how many points?", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "C"},
    {"id": 82, "difficulty": "hard", "question": "For y = x⁴ - 5x² + 4, number of real zeros is:", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "C"},
    {"id": 83, "difficulty": "hard", "question": "y = x³ - 4x² - 7x + 10 has zeros:", "options": {"A": "x = -2, 1, 5", "B": "x = 2, -1, 5", "C": "x = 2, 1, -5", "D": "x = -2, -1, 5"}, "correct_answer": "A"},
    {"id": 84, "difficulty": "hard", "question": "The polynomial y = x⁴ - 16 has:", "options": {"A": "2 real zeros", "B": "4 real zeros", "C": "1 real zero", "D": "No real zero"}, "correct_answer": "A"},
    {"id": 85, "difficulty": "hard", "question": "y = x³ + 2x² - 5x - 6 intersects x-axis at:", "options": {"A": "x = -3, -1, 2", "B": "x = 3, -1, 2", "C": "x = -3, 1, 2", "D": "x = 3, 1, -2"}, "correct_answer": "C"},
    {"id": 86, "difficulty": "hard", "question": "For y = x⁴ - 13x² + 36, the graph meets x-axis at:", "options": {"A": "2 points", "B": "3 points", "C": "4 points", "D": "5 points"}, "correct_answer": "C"},
    {"id": 87, "difficulty": "hard", "question": "y = x³ - 7x - 6 has zeros:", "options": {"A": "x = -1, -2, 3", "B": "x = 1, -2, 3", "C": "x : -1, 2, 3", "D": "x = 1, 2, -3"}, "correct_answer": "A"},
    {"id": 88, "difficulty": "hard", "question": "The graph of y = x⁴ - 10x² + 9 crosses x-axis at how many points?", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "C"},
    {"id": 89, "difficulty": "hard", "question": "y = x³ + 3x² - 4x - 12 has x-intercepts at:", "options": {"A": "x = -3, -2, 2", "B": "x = 3, -2, 2", "C": "x = -3, 2, 2", "D": "x = 3, 2, -2"}, "correct_answer": "A"},
    {"id": 90, "difficulty": "hard", "question": "For y = x⁴ - 8x² + 16, the graph:", "options": {"A": "Crosses x-axis at 4 points", "B": "Touches x-axis at 2 points", "C": "Does not meet x-axis", "D": "Crosses x-axis at 2 points"}, "correct_answer": "B"},
    {"id": 91, "difficulty": "hard", "question": "y = x³ - 2x² - 5x + 6 has zeros:", "options": {"A": "x = -2, 1, 3", "B": "x = 2, -1, 3", "C": "x = 2, 1, -3", "D": "x = -2, -1, 3"}, "correct_answer": "A"},
    {"id": 92, "difficulty": "hard", "question": "The polynomial y = x⁴ - 81 has:", "options": {"A": "2 real zeros", "B": "4 real zeros", "C": "1 real zero", "D": "No real zero"}, "correct_answer": "A"},
    {"id": 93, "difficulty": "hard", "question": "y = x³ + 4x² + x - 6 crosses x-axis at:", "options": {"A": "x = -3, -2, 1", "B": "x = 3, -2, 1", "C": "x = -3, 2, 1", "D": "x = 3, 2, -1"}, "correct_answer": "A"},
    {"id": 94, "difficulty": "hard", "question": "For y = x⁴ - 17x² + 16, number of x-intercepts is:", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "C"},
    {"id": 95, "difficulty": "hard", "question": "y = x³ - 3x² - 4x + 12 has zeros:", "options": {"A": "x = -2, 2, 3", "B": "x = 2, -2, 3", "C": "x = 2, 2, -3", "D": "x = -2, -2, 3"}, "correct_answer": "A"},
    {"id": 96, "difficulty": "hard", "question": "The graph of y = x⁴ - 25x² + 144 meets x-axis at:", "options": {"A": "2 points", "B": "3 points", "C": "4 points", "D": "5 points"}, "correct_answer": "C"},
    {"id": 97, "difficulty": "hard", "question": "y = x³ + 5x² + 2x - 8 has x-intercepts at:", "options": {"A": "x = -4, -2, 1", "B": "x = 4, -2, 1", "C": "x = -4, 2, 1", "D": "x = 4, 2, -1"}, "correct_answer": "A"},
    {"id": 98, "difficulty": "hard", "question": "For y = x⁴ - 29x² + 100, the graph crosses x-axis at how many points?", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "C"},
    {"id": 99, "difficulty": "hard", "question": "y = x³ - 8x² + 19x - 12 has zeros:", "options": {"A": "x = 1, 3, 4", "B": "x = -1, 3, 4", "C": "x = 1, -3, 4", "D": "x = 1, 3, -4"}, "correct_answer": "A"},
    {"id": 100, "difficulty": "hard", "question": "The polynomial y = x⁴ - 36 has:", "options": {"A": "2 real zeros", "B": "4 real zeros", "C": "1 real zero", "D": "No real zero"}, "correct_answer": "A"}
  ]
}