Calc HW 1A

What is the degree of the polynomial function f(x) = 3x^4 + 2x^3 - x + 5?

• 3

• 4

• 2

• 5

What is the leading coefficient of the polynomial g(x) = 5x^6 - 4x^5 + 2?

• 5

• -4

• 2

• 0

Which of the following is a polynomial function?

• f(x) = \frac{1}{x}

• g(x) = 4x^2 - 3

• h(x) = \sqrt{x}

• p(x) = e^x

What is the maximum number of real zeros for a polynomial of degree 5?

• 5

• 4

• 3

• 2

Which of the following statements is true about the end behavior of a polynomial function of degree 3?

• Both ends go to positive infinity.

• Both ends go to negative infinity.

• One end goes to positive infinity, and the other goes to negative infinity.

• It is constant.

What is the multiplicity of the root x = -2 in the polynomial (x + 2)^4(x - 3)?

• 1

• 2

• 3

• 4

If a polynomial function has a degree of 4, how many complex zeros can it have?

• 2

• 4

• 5

• 6

A polynomial function p(x) is even if:

• p(-x) = -p(x)

• p(-x) = p(x)

• It has only real roots.

• It has no x-intercepts.

What are the y-intercepts of the polynomial q(x) = x^2 - 4x + 4?

• (0, 0)

• (0, 4)

• (0, -4)

• (0, 2)

If the polynomial r(x) = (x - 1)^2(x + 3)(x - 4), what is the root at x = 1?

• Simple root

• Double root

• Triple root

• No root