[
  {
    "Question": "What is the standard form of a quadratic equation?",
    "Answer": "B",
    "Explanation": "The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.",
    "PictureURL": "",
    "OptionA": "ax + b = 0",
    "OptionB": "ax² + bx + c = 0",
    "OptionC": "ax³ + bx² + cx + d = 0",
    "OptionD": "a(x - h)² + k = 0",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations and Polynomials Practice Test",
    "Content Type": "Practice Question",
    "Title": "Standard Form of Quadratic Equation",
    "Item": 1,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations and polynomials"
  },
  {
    "Question": "If a quadratic equation is given by x² - 5x + 6 = 0, what are its roots?",
    "Answer": "C",
    "Explanation": "Factoring the quadratic: (x - 2)(x - 3) = 0, so the roots are x = 2 and x = 3.",
    "PictureURL": "",
    "OptionA": "x = -2 and x = -3",
    "OptionB": "x = 5 and x = 6",
    "OptionC": "x = 2 and x = 3",
    "OptionD": "x = 1 and x = 6",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations and Polynomials Practice Test",
    "Content Type": "Practice Question",
    "Title": "Finding Roots by Factoring",
    "Item": 2,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations and polynomials"
  },
  {
    "Question": "What is the discriminant of the quadratic equation 2x² + 4x - 6 = 0?",
    "Answer": "A",
    "Explanation": "Discriminant Δ = b² - 4ac = (4)² - 4(2)(-6) = 16 + 48 = 64.",
    "PictureURL": "",
    "OptionA": "64",
    "OptionB": "16",
    "OptionC": "-64",
    "OptionD": "0",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations and Polynomials Practice Test",
    "Content Type": "Practice Question",
    "Title": "Calculating the Discriminant",
    "Item": 3,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations and polynomials"
  },
  {
    "Question": "Which of the following is a polynomial of degree 3?",
    "Answer": "D",
    "Explanation": "A polynomial of degree 3 has the highest power of x as 3. Option D is x³ + 2x² - x + 5.",
    "PictureURL": "",
    "OptionA": "4x² + 3x + 1",
    "OptionB": "7x + 9",
    "OptionC": "5x⁴ - 2x + 3",
    "OptionD": "x³ + 2x² - x + 5",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations and Polynomials Practice Test",
    "Content Type": "Practice Question",
    "Title": "Identifying Polynomial Degree",
    "Item": 4,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations and polynomials"
  },
  {
    "Question": "What is the vertex form of the quadratic equation y = x² - 6x + 8?",
    "Answer": "B",
    "Explanation": "Completing the square: y = (x² - 6x + 9) - 9 + 8 = (x - 3)² - 1.",
    "PictureURL": "",
    "OptionA": "y = (x + 3)² + 1",
    "OptionB": "y = (x - 3)² - 1",
    "OptionC": "y = (x - 6)² + 8",
    "OptionD": "y = (x + 6)² - 8",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations and Polynomials Practice Test",
    "Content Type": "Practice Question",
    "Title": "Converting to Vertex Form",
    "Item": 5,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations and polynomials"
  },
  {
    "Question": "Which method is NOT commonly used to solve quadratic equations?",
    "Answer": "D",
    "Explanation": "Common methods include factoring, completing the square, and using the quadratic formula. Long division is not used to solve quadratic equations.",
    "PictureURL": "",
    "OptionA": "Factoring",
    "OptionB": "Completing the square",
    "OptionC": "Quadratic formula",
    "OptionD": "Long division",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations and Polynomials Practice Test",
    "Content Type": "Practice Question",
    "Title": "Methods to Solve Quadratics",
    "Item": 6,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations and polynomials"
  },
  {
    "Question": "What is the sum of the roots of the quadratic equation 3x² - 7x + 2 = 0?",
    "Answer": "A",
    "Explanation": "Sum of roots = -b/a = -(-7)/3 = 7/3.",
    "PictureURL": "",
    "OptionA": "7/3",
    "OptionB": "-7/3",
    "OptionC": "2/3",
    "OptionD": "-2/3",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations and Polynomials Practice Test",
    "Content Type": "Practice Question",
    "Title": "Sum of Roots",
    "Item": 7,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations and polynomials"
  },
  {
    "Question": "If the polynomial f(x) = x³ - 4x² + x + 6, what is f(2)?",
    "Answer": "B",
    "Explanation": "Calculate f(2): 2³ - 4(2)² + 2 + 6 = 8 - 16 + 2 + 6 = 0.",
    "PictureURL": "",
    "OptionA": "12",
    "OptionB": "0",
    "OptionC": "-4",
    "OptionD": "6",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations and Polynomials Practice Test",
    "Content Type": "Practice Question",
    "Title": "Evaluating a Polynomial",
    "Item": 8,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations and polynomials"
  },
  {
    "Question": "Which of the following is the factored form of x² + 7x + 10?",
    "Answer": "C",
    "Explanation": "x² + 7x + 10 factors as (x + 5)(x + 2).",
    "PictureURL": "",
    "OptionA": "(x + 10)(x + 7)",
    "OptionB": "(x - 5)(x - 2)",
    "OptionC": "(x + 5)(x + 2)",
    "OptionD": "(x - 10)(x - 7)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations and Polynomials Practice Test",
    "Content Type": "Practice Question",
    "Title": "Factoring Quadratics",
    "Item": 9,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations and polynomials"
  },
  {
    "Question": "What is the degree of the polynomial 4x⁵ - 3x³ + x - 7?",
    "Answer": "A",
    "Explanation": "The degree of a polynomial is the highest power of x, which is 5 here.",
    "PictureURL": "",
    "OptionA": "5",
    "OptionB": "3",
    "OptionC": "1",
    "OptionD": "7",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations and Polynomials Practice Test",
    "Content Type": "Practice Question",
    "Title": "Degree of a Polynomial",
    "Item": 10,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations and polynomials"
  },
  {
    "Question": "Which quadratic equation has roots 4 and -3?",
    "Answer": "B",
    "Explanation": "Using roots r1 and r2, the quadratic is (x - r1)(x - r2) = 0 → (x - 4)(x + 3) = x² - x - 12 = 0.",
    "PictureURL": "",
    "OptionA": "x² + x - 12 = 0",
    "OptionB": "x² - x - 12 = 0",
    "OptionC": "x² + 7x + 12 = 0",
    "OptionD": "x² - 7x + 12 = 0",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations and Polynomials Practice Test",
    "Content Type": "Practice Question",
    "Title": "Forming Quadratic from Roots",
    "Item": 11,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations and polynomials"
  },
  {
    "Question": "What is the product of the roots of the quadratic equation 5x² - 3x + 1 = 0?",
    "Answer": "C",
    "Explanation": "Product of roots = c/a = 1/5.",
    "PictureURL": "",
    "OptionA": "-3/5",
    "OptionB": "3/5",
    "OptionC": "1/5",
    "OptionD": "-1/5",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations and Polynomials Practice Test",
    "Content Type": "Practice Question",
    "Title": "Product of Roots",
    "Item": 12,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations and polynomials"
  },
  {
    "Question": "Which polynomial is monic?",
    "Answer": "A",
    "Explanation": "A monic polynomial has leading coefficient 1. Option A has leading coefficient 1.",
    "PictureURL": "",
    "OptionA": "x² - 4x + 4",
    "OptionB": "3x² + 2x - 1",
    "OptionC": "5x³ - x + 7",
    "OptionD": "2x + 3",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations and Polynomials Practice Test",
    "Content Type": "Practice Question",
    "Title": "Monic Polynomial Identification",
    "Item": 13,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations and polynomials"
  },
  {
    "Question": "What is the axis of symmetry for the parabola y = 2x² - 8x + 3?",
    "Answer": "B",
    "Explanation": "Axis of symmetry is x = -b/(2a) = 8/(2*2) = 2.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/8/8a/Parabola.svg/220px-Parabola.svg.png",
    "OptionA": "x = -2",
    "OptionB": "x = 2",
    "OptionC": "x = 4",
    "OptionD": "x = -4",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations and Polynomials Practice Test",
    "Content Type": "Practice Question",
    "Title": "Axis of Symmetry",
    "Item": 14,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations and polynomials"
  },
  {
    "Question": "Which polynomial is NOT a quadratic polynomial?",
    "Answer": "D",
    "Explanation": "A quadratic polynomial has degree 2. Option D is degree 1 (linear).",
    "PictureURL": "",
    "OptionA": "x² + 3x + 2",
    "OptionB": "4x² - x + 7",
    "OptionC": "5x² + 6",
    "OptionD": "3x + 1",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations and Polynomials Practice Test",
    "Content Type": "Practice Question",
    "Title": "Identifying Quadratic Polynomials",
    "Item": 15,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations and polynomials"
  }
]