Algebra-1 Problems

5.12 Multiplication and Addition of Polynomials


Problem #

Problem Statement

Problems Similar To

1.

Solve

\begin{equation}(6x+10)(5x-10)+(8x-8)(8x+6)\end{equation}

2.

A rectangular field has sides: (26 + x) ft and (26 - x) ft respectively. The entire field is covered with grass except for the rectangular cemented region with sides: (8 + x) ft and (8 - x) ft respectively. Sides of the cemented region are aligned with those of the grass field. What is the area of the field covered with grass?

\begin{equation}(26+x)(26-x)-(8+x)(8-x)\end{equation}

3.

A rectangular prism has length of (x + 9), width of (x - 9) and height of ($\frac{x}{2} - 5$). Write a polynomial to represent the volume of the prism.

\begin{equation}(x+9)(x-9)(\frac{x}{2}-5)\end{equation}