Algebra-1 Problems

5.12 Multiplication and Addition of Polynomials


Problem #

Problem Statement

Problems Similar To

1.

Solve

\begin{equation}(5x+6)(7x-3)+(10x-10)(2x+10)\end{equation}

2.

A rectangular field has sides: (32 + x) ft and (32 - x) ft respectively. The entire field is covered with grass except for the rectangular cemented region with sides: (9 + x) ft and (9 - 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}(32+x)(32-x)-(9+x)(9-x)\end{equation}

3.

A rectangular prism has length of (x + 5), width of (x - 2) and height of ($\frac{x}{9} - 10$). Write a polynomial to represent the volume of the prism.

\begin{equation}(x+5)(x-2)(\frac{x}{9}-10)\end{equation}