Biquadratic Polynomials and Evaluating Values
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Questions and Answers

What is the degree of the polynomial 4x^2 - 7x + 2?

  • 3
  • 4
  • 2 (correct)
  • 1
  • Which of the following is not a linear polynomial?

  • 2x^2 - 1 (correct)
  • 4x - 9
  • 5x + 3
  • -3x + 7
  • What degree polynomial is represented by p(x) = 2x^3 - x^2 + 6x + 4?

  • 2
  • 3 (correct)
  • 4
  • 1
  • Which of the following is a quadratic polynomial?

    <p>-2x^2 + 5x - 1</p> Signup and view all the answers

    What is the degree of a biquadratic polynomial?

    <p>4</p> Signup and view all the answers

    Which of the following is not a cubic polynomial?

    <p>-5x^4 + 3x^3 - x^2 + 2</p> Signup and view all the answers

    If p(x) = 2x^2 - 3x + 5, what is p(2)?

    <p>7</p> Signup and view all the answers

    What is the value of p(-1) if p(x) = 2x^2 - 3x + 5?

    <p>10</p> Signup and view all the answers

    If p(x) = x^2 - 2x - 3, what is p(3)?

    <p>0</p> Signup and view all the answers

    For the polynomial p(x) = ax^2 + bx + c, what does it mean if a real number α is a zero of p(x)?

    <p>p(α) = 0</p> Signup and view all the answers

    What are the zeros of the quadratic polynomial p(x) = x^2 - 2x - 3?

    <p>-1 and 3</p> Signup and view all the answers

    How are the factors (x-α) and (x-β) related to the zeros of a quadratic polynomial p(x) = ax^2 + bx + c?

    <p>(x-α)(x-β) = p(x)</p> Signup and view all the answers

    What are the zeros of the quadratic polynomial f(x) = x^2 + 5x + 6?

    <p>3 and -2</p> Signup and view all the answers

    If the sum of the zeros of a quadratic polynomial is -3 and their product is 10, what is the polynomial?

    <p>x^2 - 3x + 10</p> Signup and view all the answers

    In the quadratic polynomial f(x) = x^2 - 2x - 12, what are the zeros of the polynomial?

    <p>-2 and 6</p> Signup and view all the answers

    If a quadratic polynomial has zeros at 3/2 and -2/2, what is the polynomial?

    <p>x^2 - 3/2x + 2/2</p> Signup and view all the answers

    What is the product of the zeros of the quadratic polynomial f(x) = x^2 + 5x + 6?

    <p>-6</p> Signup and view all the answers

    For a quadratic polynomial, if the sum of zeros is -4 and their product is 12, what is the polynomial?

    <p>x^2 - 4x + 12</p> Signup and view all the answers

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