### 5.6 Polynomials

Problem #

Problem Statement

Problems Similar To

1.

Rewrite the polynomial with the terms in descending order by degree of variable x.

\begin{equation}3x+5+2x^{4}-4x^{8}\end{equation}

2.

Rewrite the polynomial with the terms in descending order by degree of variable x.

\begin{equation}4x^{2}y^{10}+6x^{7}y^{10}-9x^{10}y^{9}\end{equation}

3.

Rewrite the polynomial with the terms in descending order by degree of variable x.

\begin{equation}8x^{3}y^{5}-5x^{4}y^{9}+11x^{9}y^{7}+4\end{equation}

4.

Solve for x = 3

\begin{equation}x^{4}\end{equation}

5.

Solve for x = 8

\begin{equation}(x-3)^{(-3)}\end{equation}

6.

Solve for x = 3

\begin{equation}x^{(-4)} \times 3^{(-3)}\end{equation}

7.

Solve for x = 2, y = 3

\begin{equation}7x^{(-y)}\end{equation}

8.

Solve for x = 3, y = 3

\begin{equation}(3x)^{(-y)}\end{equation}

9.

Solve for x = 3, y = 2

\begin{equation}x^{4}y^{(-3)}\end{equation}

10.

Solve for x = 4

\begin{equation}10x^{2}+9x+7\end{equation}

11.

Solve for x = 5

\begin{equation}7x^{3}+4x^{2}+3\end{equation}

12.

Solve for x = 2

\begin{equation}4x+9-5x^{3}\end{equation}

13.

Solve for x = 3

\begin{equation}3x^{5}-5x+8x^{2}-7\end{equation}

14.

Solve for x = 5

\begin{equation}3x+x^{3}-5x^{2}\end{equation}

15.

If a rock is thrown upward at a speed of 160 ft per second, the height it reaches in t seconds is $160t - 16t^{2}$. Find the height of the rock, above ground, after t = 2 sec

\begin{equation}160t-16t^{2}\end{equation}

16.

An egg is dropped off the top of a building. Its height in meters above the ground can be approximated by the polynomial $300 + 2t - 5t^{2}$, where t is the time since it was thrown in seconds. How high is the egg above the ground after t = 6 seconds?

\begin{equation}300+2t-5t^{2}\end{equation}