### 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}6x+4+4x^{4}-5x^{6}\end{equation}

2.

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

\begin{equation}11x^{3}y^{6}+6x^{7}y^{8}-3x^{9}y^{5}\end{equation}

3.

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

\begin{equation}11x^{2}y^{5}-5x^{6}y^{9}+4x^{8}y^{2}+10\end{equation}

4.

Solve for x = 2

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

5.

Solve for x = 6

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

6.

Solve for x = 3

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

7.

Solve for x = 2, y = 3

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

8.

Solve for x = 2, y = 2

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

9.

Solve for x = 5, y = 3

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

10.

Solve for x = 9

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

11.

Solve for x = 2

\begin{equation}4x^{3}+3x^{2}+6\end{equation}

12.

Solve for x = 3

\begin{equation}5x+7-4x^{3}\end{equation}

13.

Solve for x = 2

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

14.

Solve for x = 2

\begin{equation}3x+x^{3}-10x^{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 = 6 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 = 4 seconds?

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