Polynomial Functions

Practice Questions

Algebra II › Polynomial Functions

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1

Let $\small f(x)=x^2-10$ , $\small g(x)=x^3$ , and $\small h(x)=2x$ . What is $\small f(h(g(x)))$ ?

2

Let $\small f(x)=\sqrt[3]{x^2}$ , $\small g(x)=x^3$ , and $\small h(x)=\sqrt[4]{x}$ . What is $\small f(g(h(x)))$ ?

3

True or false:

The polynomial $7x^{5} - 4x^{2} + 2x + 13$ has as a factor.

4

If , find .

5

If , find .

6

Find the product:

7

Factorize:

8

The highest- and lowest-degree terms of a polynomial of degree 8 are $4x^{8}$ and , respectively; the polynomial has only integer coefficients.

True or false: By the Rational Zeroes Theorem, it is impossible for $\frac{9}{2}$ to be a zero of this polynomial.

9

True or false:

The polynomial $8x^{6}+ 7x^{4} - 15$ has as a factor.

10

A baseball is thrown off the roof of a building 220 feet high at an initial upward speed of 72 feet per second; the height of the baseball relative to the ground is modeled by the function

$h(t) = -16t^{2}+ 72t + 220$

How long does it take for the baseball to reach its highest point (nearest tenth of a second)?

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