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 (D)</p> Signup and view all the answers

What is the degree of a biquadratic polynomial?

<p>4 (B)</p> Signup and view all the answers

Which of the following is not a cubic polynomial?

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

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

<p>7 (A)</p> Signup and view all the answers

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

<p>10 (A)</p> Signup and view all the answers

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

<p>0 (B)</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 (A)</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 (C)</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) (D)</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 (B)</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 (D)</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 (D)</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 (B)</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 (A)</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 (D)</p> Signup and view all the answers

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