{
  "title": "Quadratic Polynomial - Grade 10 CBSE",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "A quadratic polynomial has degree:", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 2, "difficulty": "easy", "question": "The general form of quadratic polynomial is:", "options": {"A": "ax + b", "B": "ax² + bx + c", "C": "ax³ + bx² + cx + d", "D": "ax⁴ + bx³ + cx² + dx + e"}, "correct_answer": "B"},
    {"id": 3, "difficulty": "easy", "question": "If α and β are zeros of x² - 5x + 6, then α + β =", "options": {"A": "5", "B": "6", "C": "-5", "D": "-6"}, "correct_answer": "A"},
    {"id": 4, "difficulty": "easy", "question": "If α and β are zeros of x² - 5x + 6, then αβ =", "options": {"A": "5", "B": "6", "C": "-5", "D": "-6"}, "correct_answer": "B"},
    {"id": 5, "difficulty": "easy", "question": "The sum of zeros of x² + 7x + 12 is:", "options": {"A": "7", "B": "-7", "C": "12", "D": "-12"}, "correct_answer": "B"},
    {"id": 6, "difficulty": "easy", "question": "The product of zeros of x² + 7x + 12 is:", "options": {"A": "7", "B": "-7", "C": "12", "D": "-12"}, "correct_answer": "C"},
    {"id": 7, "difficulty": "easy", "question": "For quadratic polynomial ax² + bx + c, sum of zeros =", "options": {"A": "b/a", "B": "-b/a", "C": "c/a", "D": "-c/a"}, "correct_answer": "B"},
    {"id": 8, "difficulty": "easy", "question": "For quadratic polynomial ax² + bx + c, product of zeros =", "options": {"A": "b/a", "B": "-b/a", "C": "c/a", "D": "-c/a"}, "correct_answer": "C"},
    {"id": 9, "difficulty": "easy", "question": "The sum of zeros of 2x² - 8x + 6 is:", "options": {"A": "4", "B": "-4", "C": "3", "D": "-3"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "The product of zeros of 2x² - 8x + 6 is:", "options": {"A": "4", "B": "-4", "C": "3", "D": "-3"}, "correct_answer": "C"},
    {"id": 11, "difficulty": "easy", "question": "If α and β are zeros of x² - 3x + 2, then α + β =", "options": {"A": "3", "B": "-3", "C": "2", "D": "-2"}, "correct_answer": "A"},
    {"id": 12, "difficulty": "easy", "question": "If α and β are zeros of x² - 3x + 2, then αβ =", "options": {"A": "3", "B": "-3", "C": "2", "D": "-2"}, "correct_answer": "C"},
    {"id": 13, "difficulty": "easy", "question": "The sum of zeros of x² - 9 is:", "options": {"A": "9", "B": "-9", "C": "0", "D": "1"}, "correct_answer": "C"},
    {"id": 14, "difficulty": "easy", "question": "The product of zeros of x² - 9 is:", "options": {"A": "9", "B": "-9", "C": "0", "D": "1"}, "correct_answer": "B"},
    {"id": 15, "difficulty": "easy", "question": "For polynomial 3x² + 5x - 2, sum of zeros =", "options": {"A": "5/3", "B": "-5/3", "C": "2/3", "D": "-2/3"}, "correct_answer": "B"},
    {"id": 16, "difficulty": "easy", "question": "For polynomial 3x² + 5x - 2, product of zeros =", "options": {"A": "5/3", "B": "-5/3", "C": "2/3", "D": "-2/3"}, "correct_answer": "D"},
    {"id": 17, "difficulty": "easy", "question": "The sum of zeros of 4x² - 12x + 9 is:", "options": {"A": "3", "B": "-3", "C": "9/4", "D": "-9/4"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "The product of zeros of 4x² - 12x + 9 is:", "options": {"A": "3", "B": "-3", "C": "9/4", "D": "-9/4"}, "correct_answer": "C"},
    {"id": 19, "difficulty": "easy", "question": "If zeros are 2 and 3, the quadratic polynomial is:", "options": {"A": "x² - 5x + 6", "B": "x² + 5x + 6", "C": "x² - 5x - 6", "D": "x² + 5x - 6"}, "correct_answer": "A"},
    {"id": 20, "difficulty": "easy", "question": "If zeros are -1 and -2, the quadratic polynomial is:", "options": {"A": "x² - 3x + 2", "B": "x² + 3x + 2", "C": "x² - 3x - 2", "D": "x² + 3x - 2"}, "correct_answer": "B"},
    {"id": 21, "difficulty": "medium", "question": "Find a quadratic polynomial whose zeros are 2+√3 and 2-√3", "options": {"A": "x² - 4x + 1", "B": "x² - 4x - 1", "C": "x² + 4x + 1", "D": "x² + 4x - 1"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "If α and β are zeros of 2x² - 4x + 5, then α + β =", "options": {"A": "2", "B": "-2", "C": "5/2", "D": "-5/2"}, "correct_answer": "A"},
    {"id": 23, "difficulty": "medium", "question": "If α and β are zeros of 2x² - 4x + 5, then αβ =", "options": {"A": "2", "B": "-2", "C": "5/2", "D": "-5/2"}, "correct_answer": "C"},
    {"id": 24, "difficulty": "medium", "question": "Find quadratic polynomial with zeros 1/2 and -3", "options": {"A": "2x² + 5x - 3", "B": "2x² - 5x - 3", "C": "2x² + 5x + 3", "D": "2x² - 5x + 3"}, "correct_answer": "A"},
    {"id": 25, "difficulty": "medium", "question": "If sum of zeros is 5 and product is 6, the polynomial is:", "options": {"A": "x² - 5x + 6", "B": "x² + 5x + 6", "C": "x² - 5x - 6", "D": "x² + 5x - 6"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "For polynomial kx² - 7x + 3, if sum of zeros is 7/2, then k =", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 27, "difficulty": "medium", "question": "If one zero of x² - 6x + k is 2, then k =", "options": {"A": "4", "B": "6", "C": "8", "D": "10"}, "correct_answer": "C"},
    {"id": 28, "difficulty": "medium", "question": "Find quadratic polynomial with sum of zeros = -3 and product = 2", "options": {"A": "x² - 3x + 2", "B": "x² + 3x + 2", "C": "x² - 3x - 2", "D": "x² + 3x - 2"}, "correct_answer": "B"},
    {"id": 29, "difficulty": "medium", "question": "If α and β are zeros of 3x² + 5x - 7, then 1/α + 1/β =", "options": {"A": "5/7", "B": "-5/7", "C": "7/5", "D": "-7/5"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "If α and β are zeros of x² - x - 4, then α² + β² =", "options": {"A": "1", "B": "9", "C": "17", "D": "25"}, "correct_answer": "B"},
    {"id": 31, "difficulty": "medium", "question": "For polynomial 2x² + 3x - 5, α² + β² =", "options": {"A": "9/4", "B": "29/4", "C": "49/4", "D": "69/4"}, "correct_answer": "B"},
    {"id": 32, "difficulty": "medium", "question": "If α and β are zeros of x² - 4x + 1, then α/β + β/α =", "options": {"A": "4", "B": "14", "C": "16", "D": "18"}, "correct_answer": "B"},
    {"id": 33, "difficulty": "medium", "question": "Find k if zeros of x² + 4x + k are equal", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "D"},
    {"id": 34, "difficulty": "medium", "question": "If α and β are zeros of 2x² - 5x + 7, then α³ + β³ =", "options": {"A": "-55/8", "B": "55/8", "C": "-65/8", "D": "65/8"}, "correct_answer": "A"},
    {"id": 35, "difficulty": "medium", "question": "For polynomial x² - 8x + 15, (α - β)² =", "options": {"A": "4", "B": "9", "C": "16", "D": "25"}, "correct_answer": "A"},
    {"id": 36, "difficulty": "medium", "question": "If zeros of x² - px + 8 are in ratio 1:2, then p =", "options": {"A": "6", "B": "-6", "C": "±6", "D": "±8"}, "correct_answer": "C"},
    {"id": 37, "difficulty": "medium", "question": "Find quadratic polynomial with zeros 2+√5 and 2-√5", "options": {"A": "x² - 4x - 1", "B": "x² - 4x + 1", "C": "x² + 4x - 1", "D": "x² + 4x + 1"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "If α, β are zeros of x² - 2x - 8, then α²β + αβ² =", "options": {"A": "-16", "B": "16", "C": "-8", "D": "8"}, "correct_answer": "A"},
    {"id": 39, "difficulty": "medium", "question": "For polynomial 4x² - 8x + 3, α³ + β³ =", "options": {"A": "7/8", "B": "9/8", "C": "11/8", "D": "13/8"}, "correct_answer": "C"},
    {"id": 40, "difficulty": "medium", "question": "If sum of zeros is -1/4 and product is 1/4, polynomial is:", "options": {"A": "4x² + x + 1", "B": "4x² - x + 1", "C": "4x² + x - 1", "D": "4x² - x - 1"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "medium", "question": "Find k if 3 is a zero of 2x² - x + k", "options": {"A": "-15", "B": "-12", "C": "-10", "D": "-8"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "medium", "question": "If α, β are zeros of x² + 5x + 6, then 1/α² + 1/β² =", "options": {"A": "13/36", "B": "25/36", "C": "37/36", "D": "49/36"}, "correct_answer": "A"},
    {"id": 43, "difficulty": "medium", "question": "For polynomial ax² + bx + c, if α + β = 4 and αβ = 3, then polynomial is:", "options": {"A": "x² - 4x + 3", "B": "x² + 4x + 3", "C": "x² - 4x - 3", "D": "x² + 4x - 3"}, "correct_answer": "A"},
    {"id": 44, "difficulty": "medium", "question": "If zeros of x² - kx + 6 are in ratio 2:3, then k =", "options": {"A": "5", "B": "-5", "C": "±5", "D": "±6"}, "correct_answer": "C"},
    {"id": 45, "difficulty": "medium", "question": "Find quadratic polynomial with zeros -1/3 and 1/3", "options": {"A": "3x² - 1", "B": "3x² + 1", "C": "9x² - 1", "D": "9x² + 1"}, "correct_answer": "C"},
    {"id": 46, "difficulty": "medium", "question": "If α, β are zeros of 3x² - 6x + 4, then α² + β² =", "options": {"A": "4/3", "B": "-4/3", "C": "2", "D": "-2"}, "correct_answer": "B"},
    {"id": 47, "difficulty": "medium", "question": "For polynomial x² - (k+6)x + 2(2k-1), if sum of zeros = 1/2 product, then k =", "options": {"A": "5", "B": "6", "C": "7", "D": "8"}, "correct_answer": "C"},
    {"id": 48, "difficulty": "medium", "question": "If α, β are zeros of x² - 6x + 5, then |α - β| =", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "D"},
    {"id": 49, "difficulty": "medium", "question": "Find k if zeros of x² - 12x + k are equal", "options": {"A": "24", "B": "30", "C": "36", "D": "42"}, "correct_answer": "C"},
    {"id": 50, "difficulty": "medium", "question": "If α, β are zeros of 2x² + 5x - 3, then α/β + β/α =", "options": {"A": "25/6", "B": "37/6", "C": "49/6", "D": "61/6"}, "correct_answer": "B"},
    {"id": 51, "difficulty": "medium", "question": "For polynomial x² - 10x + 21, (α+1)(β+1) =", "options": {"A": "20", "B": "24", "C": "28", "D": "32"}, "correct_answer": "D"},
    {"id": 52, "difficulty": "medium", "question": "If α, β are zeros of x² + 7x + 12, then α²β + αβ² =", "options": {"A": "-84", "B": "84", "C": "-48", "D": "48"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "medium", "question": "Find quadratic polynomial with zeros 1+√2 and 1-√2", "options": {"A": "x² - 2x - 1", "B": "x² - 2x + 1", "C": "x² + 2x - 1", "D": "x² + 2x + 1"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "medium", "question": "If α, β are zeros of x² - x - 12, then α³ + β³ =", "options": {"A": "37", "B": "39", "C": "41", "D": "43"}, "correct_answer": "A"},
    {"id": 55, "difficulty": "medium", "question": "For polynomial 5x² - 6x - 2, α² + β² =", "options": {"A": "36/25", "B": "46/25", "C": "56/25", "D": "66/25"}, "correct_answer": "C"},
    {"id": 56, "difficulty": "medium", "question": "If zeros of 4x² - 8x + k are reciprocal, then k =", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "D"},
    {"id": 57, "difficulty": "medium", "question": "Find k if -2 is a zero of x² + 3x + k", "options": {"A": "2", "B": "-2", "C": "4", "D": "-4"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "medium", "question": "If α, β are zeros of 2x² - 3x - 5, then 1/(α+1) + 1/(β+1) =", "options": {"A": "1/2", "B": "3/2", "C": "5/2", "D": "7/2"}, "correct_answer": "B"},
    {"id": 59, "difficulty": "medium", "question": "For polynomial x² - 9x + 20, α²β² =", "options": {"A": "100", "B": "200", "C": "300", "D": "400"}, "correct_answer": "D"},
    {"id": 60, "difficulty": "medium", "question": "If α, β are zeros of x² - px + q, then α² + β² =", "options": {"A": "p² - 2q", "B": "p² + 2q", "C": "p² - q", "D": "p² + q"}, "correct_answer": "A"},
    {"id": 61, "difficulty": "medium", "question": "Find quadratic polynomial with zeros -2/3 and 3/4", "options": {"A": "12x² - x - 6", "B": "12x² + x - 6", "C": "12x² - x + 6", "D": "12x² + x + 6"}, "correct_answer": "A"},
    {"id": 62, "difficulty": "medium", "question": "If α, β are zeros of 3x² - 4x + 1, then (α - β)² =", "options": {"A": "4/9", "B": "16/9", "C": "25/9", "D": "36/9"}, "correct_answer": "A"},
    {"id": 63, "difficulty": "medium", "question": "For polynomial x² - (√2+1)x + √2, sum of zeros =", "options": {"A": "√2+1", "B": "√2-1", "C": "√2", "D": "1"}, "correct_answer": "A"},
    {"id": 64, "difficulty": "medium", "question": "If α, β are zeros of x² - 5x + 6, then α²β + αβ² =", "options": {"A": "15", "B": "20", "C": "25", "D": "30"}, "correct_answer": "D"},
    {"id": 65, "difficulty": "medium", "question": "Find k if zeros of x² + kx + 12 differ by 1", "options": {"A": "±5", "B": "±6", "C": "±7", "D": "±8"}, "correct_answer": "C"},
    {"id": 66, "difficulty": "medium", "question": "If α, β are zeros of 2x² - 6x + 3, then α² + β² =", "options": {"A": "3", "B": "4", "C": "5", "D": "6"}, "correct_answer": "D"},
    {"id": 67, "difficulty": "medium", "question": "For polynomial 4x² - 12x + 9, (α+β)² =", "options": {"A": "9", "B": "12", "C": "16", "D": "25"}, "correct_answer": "A"},
    {"id": 68, "difficulty": "medium", "question": "If zeros of ax² + bx + c are reciprocal, then:", "options": {"A": "a = b", "B": "a = c", "C": "b = c", "D": "a = b = c"}, "correct_answer": "B"},
    {"id": 69, "difficulty": "medium", "question": "Find quadratic polynomial with zeros 0 and 5", "options": {"A": "x² - 5x", "B": "x² + 5x", "C": "x² - 25", "D": "x² + 25"}, "correct_answer": "A"},
    {"id": 70, "difficulty": "medium", "question": "If α, β are zeros of x² - 8x + 15, then α³ + β³ =", "options": {"A": "152", "B": "242", "C": "272", "D": "302"}, "correct_answer": "C"},
    {"id": 71, "difficulty": "medium", "question": "For polynomial 6x² - x - 2, α² + β² =", "options": {"A": "25/36", "B": "37/36", "C": "49/36", "D": "61/36"}, "correct_answer": "B"},
    {"id": 72, "difficulty": "medium", "question": "If α, β are zeros of x² - 2x - 1, then α² + β² =", "options": {"A": "2", "B": "4", "C": "6", "D": "8"}, "correct_answer": "C"},
    {"id": 73, "difficulty": "medium", "question": "Find k if zeros of 2x² + kx + 8 are equal", "options": {"A": "±4", "B": "±6", "C": "±8", "D": "±10"}, "correct_answer": "C"},
    {"id": 74, "difficulty": "medium", "question": "If α, β are zeros of 3x² + 2x - 1, then 1/α + 1/β =", "options": {"A": "2", "B": "-2", "C": "1/2", "D": "-1/2"}, "correct_answer": "A"},
    {"id": 75, "difficulty": "medium", "question": "For polynomial x² - 14x + 45, α²β² =", "options": {"A": "2025", "B": "1225", "C": "625", "D": "225"}, "correct_answer": "A"},
    {"id": 76, "difficulty": "medium", "question": "If α, β are zeros of x² + x + 1, then 1/α + 1/β =", "options": {"A": "-1", "B": "0", "C": "1", "D": "2"}, "correct_answer": "A"},
    {"id": 77, "difficulty": "medium", "question": "Find quadratic polynomial with zeros -1 and 1/2", "options": {"A": "2x² + x - 1", "B": "2x² - x - 1", "C": "2x² + x + 1", "D": "2x² - x + 1"}, "correct_answer": "A"},
    {"id": 78, "difficulty": "medium", "question": "If α, β are zeros of 5x² - 6x + 1, then (α+1)(β+1) =", "options": {"A": "12/5", "B": "13/5", "C": "14/5", "D": "16/5"}, "correct_answer": "A"},
    {"id": 79, "difficulty": "medium", "question": "For polynomial x² - √3x + 1, product of zeros =", "options": {"A": "√3", "B": "-√3", "C": "1", "D": "-1"}, "correct_answer": "C"},
    {"id": 80, "difficulty": "medium", "question": "If zeros of x² - kx + 10 are in ratio 2:5, then k =", "options": {"A": "±7", "B": "±8", "C": "±9", "D": "±10"}, "correct_answer": "A"},
    {"id": 81, "difficulty": "hard", "question": "If α, β are zeros of x² - 2x + 3, then quadratic polynomial with zeros α+2, β+2 is:", "options": {"A": "x² - 6x + 11", "B": "x² + 6x + 11", "C": "x² - 6x - 11", "D": "x² + 6x - 11"}, "correct_answer": "A"},
    {"id": 82, "difficulty": "hard", "question": "If α, β are zeros of 2x² + 5x - 3, then quadratic polynomial with zeros 2α, 2β is:", "options": {"A": "x² + 5x - 6", "B": "x² - 5x - 6", "C": "x² + 5x + 6", "D": "x² - 5x + 6"}, "correct_answer": "A"},
    {"id": 83, "difficulty": "hard", "question": "If α, β are zeros of x² - x - 4, then quadratic polynomial with zeros 1/α, 1/β is:", "options": {"A": "4x² + x - 1", "B": "4x² - x - 1", "C": "4x² + x + 1", "D": "4x² - x + 1"}, "correct_answer": "A"},
    {"id": 84, "difficulty": "hard", "question": "If α, β are zeros of x² - 6x + 5, then quadratic polynomial with zeros α², β² is:", "options": {"A": "x² - 26x + 25", "B": "x² + 26x + 25", "C": "x² - 26x - 25", "D": "x² + 26x - 25"}, "correct_answer": "A"},
    {"id": 85, "difficulty": "hard", "question": "If α, β are zeros of 3x² - 4x + 1, then quadratic polynomial with zeros α/β, β/α is:", "options": {"A": "3x² - 10x + 3", "B": "3x² + 10x + 3", "C": "3x² - 10x - 3", "D": "3x² + 10x - 3"}, "correct_answer": "A"},
    {"id": 86, "difficulty": "hard", "question": "If α, β are zeros of x² - 5x + 6, then quadratic polynomial with zeros α+β, αβ is:", "options": {"A": "x² - 11x + 30", "B": "x² + 11x + 30", "C": "x² - 11x - 30", "D": "x² + 11x - 30"}, "correct_answer": "A"},
    {"id": 87, "difficulty": "hard", "question": "If α, β are zeros of 2x² - 3x - 5, then quadratic polynomial with zeros α², β² is:", "options": {"A": "4x² - 29x + 25", "B": "4x² + 29x + 25", "C": "4x² - 29x - 25", "D": "4x² + 29x - 25"}, "correct_answer": "A"},
    {"id": 88, "difficulty": "hard", "question": "If α, β are zeros of x² + 7x + 12, then quadratic polynomial with zeros 2α+1, 2β+1 is:", "options": {"A": "x² + 12x + 35", "B": "x² - 12x + 35", "C": "x² + 12x - 35", "D": "x² - 12x - 35"}, "correct_answer": "A"},
    {"id": 89, "difficulty": "hard", "question": "If α, β are zeros of x² - 8x + 15, then quadratic polynomial with zeros 1/(α-2), 1/(β-2) is:", "options": {"A": "15x² - 34x + 8", "B": "15x² + 34x + 8", "C": "15x² - 34x - 8", "D": "15x² + 34x - 8"}, "correct_answer": "A"},
    {"id": 90, "difficulty": "hard", "question": "If α, β are zeros of 4x² - 12x + 9, then quadratic polynomial with zeros α³, β³ is:", "options": {"A": "16x² - 189x + 729", "B": "16x² + 189x + 729", "C": "16x² - 189x - 729", "D": "16x² + 189x - 729"}, "correct_answer": "A"},
    {"id": 91, "difficulty": "hard", "question": "If α, β are zeros of x² - x - 1, then quadratic polynomial with zeros 2α-1, 2β-1 is:", "options": {"A": "x² - 4x - 1", "B": "x² + 4x - 1", "C": "x² - 4x + 1", "D": "x² + 4x + 1"}, "correct_answer": "A"},
    {"id": 92, "difficulty": "hard", "question": "If α, β are zeros of 3x² + 5x - 2, then quadratic polynomial with zeros α/(α+1), β/(β+1) is:", "options": {"A": "5x² - 3x - 2", "B": "5x² + 3x - 2", "C": "5x² - 3x + 2", "D": "5x² + 3x + 2"}, "correct_answer": "A"},
    {"id": 93, "difficulty": "hard", "question": "If α, β are zeros of x² - 2√2x + 1, then quadratic polynomial with zeros α²+β², α²β² is:", "options": {"A": "x² - 6x + 1", "B": "x² + 6x + 1", "C": "x² - 6x - 1", "D": "x² + 6x - 1"}, "correct_answer": "A"},
    {"id": 94, "difficulty": "hard", "question": "If α, β are zeros of 2x² - 4x + 3, then quadratic polynomial with zeros α+1/α, β+1/β is:", "options": {"A": "3x² - 8x + 8", "B": "3x² + 8x + 8", "C": "3x² - 8x - 8", "D": "3x² + 8x - 8"}, "correct_answer": "A"},
    {"id": 95, "difficulty": "hard", "question": "If α, β are zeros of x² - 6x + 7, then quadratic polynomial with zeros (α+β)², (α-β)² is:", "options": {"A": "x² - 44x + 72", "B": "x² + 44x + 72", "C": "x² - 44x - 72", "D": "x² + 44x - 72"}, "correct_answer": "A"},
    {"id": 96, "difficulty": "hard", "question": "If α, β are zeros of x² + 4x + 2, then quadratic polynomial with zeros α²+β, β²+α is:", "options": {"A": "x² - 12x + 28", "B": "x² + 12x + 28", "C": "x² - 12x - 28", "D": "x² + 12x - 28"}, "correct_answer": "A"},
    {"id": 97, "difficulty": "hard", "question": "If α, β are zeros of 5x² - 6x + 1, then quadratic polynomial with zeros α/(1-α), β/(1-β) is:", "options": {"A": "x² - 30x + 5", "B": "x² + 30x + 5", "C": "x² - 30x - 5", "D": "x² + 30x - 5"}, "correct_answer": "A"},
    {"id": 98, "difficulty": "hard", "question": "If α, β are zeros of x² - 3x + 2, then quadratic polynomial with zeros (α+β)², αβ(α+β) is:", "options": {"A": "x² - 13x + 36", "B": "x² + 13x + 36", "C": "x² - 13x - 36", "D": "x² + 13x - 36"}, "correct_answer": "A"},
    {"id": 99, "difficulty": "hard", "question": "If α, β are zeros of 2x² - 3x - 1, then quadratic polynomial with zeros 1/(2α-1), 1/(2β-1) is:", "options": {"A": "x² + 6x + 8", "B": "x² - 6x + 8", "C": "x² + 6x - 8", "D": "x² - 6x - 8"}, "correct_answer": "B"},
    {"id": 100, "difficulty": "hard", "question": "If α, β are zeros of x² - 5x + 6, then quadratic polynomial with zeros α/β², β/α² is:", "options": {"A": "36x² - 125x + 125", "B": "36x² + 125x + 125", "C": "36x² - 125x - 125", "D": "36x² + 125x - 125"}, "correct_answer": "A"}
  ]
}