Biquadratic Polynomials and Evaluating Values

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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?

-2x^2 + 5x - 1 Signup and view all the answers

What is the degree of a biquadratic polynomial?

4 Signup and view all the answers

Which of the following is not a cubic polynomial?

-5x^4 + 3x^3 - x^2 + 2 Signup and view all the answers

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

7 Signup and view all the answers

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

10 Signup and view all the answers

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

0 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(α) = 0 Signup and view all the answers

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

-1 and 3 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?

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

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

3 and -2 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?

x^2 - 3x + 10 Signup and view all the answers

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

-2 and 6 Signup and view all the answers

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

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

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

-6 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?

x^2 - 4x + 12 Signup and view all the answers