Algebra-1 Problems

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+6+7x^{4}-3x^{7}\end{equation}

2.

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

\begin{equation}11x^{3}y^{10}+7x^{6}y^{8}-10x^{11}y^{7}\end{equation}

3.

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

\begin{equation}6x^{3}y^{10}-11x^{6}y^{2}+4x^{11}y^{2}+8\end{equation}

4.

Solve for x = 2

\begin{equation}x^{3}\end{equation}

5.

Solve for x = 6

\begin{equation}(x-4)^{(-2)}\end{equation}

6.

Solve for x = 4

\begin{equation}x^{(-3)} \times 4^{(-2)}\end{equation}

7.

Solve for x = 5, y = 2

\begin{equation}10x^{(-y)}\end{equation}

8.

Solve for x = 4, y = 3

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

9.

Solve for x = 3, y = 3

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

10.

Solve for x = 2

\begin{equation}9x^{2}+5x+7\end{equation}

11.

Solve for x = 5

\begin{equation}9x^{3}+2x^{2}+8\end{equation}

12.

Solve for x = 4

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

13.

Solve for x = 3

\begin{equation}10x^{5}-10x+2x^{2}-2\end{equation}

14.

Solve for x = 5

\begin{equation}6x+x^{3}-6x^{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 = 7 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 = 5 seconds?

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