Algebra-1 Problems

5.12 Multiplication and Addition of Polynomials


Problem #

Problem Statement

Problems Similar To

1.

Solve

\begin{equation}(2x+6)(7x-6)+(2x-5)(7x+8)\end{equation}

2.

A rectangular field has sides: (37 + x) ft and (37 - x) ft respectively. The entire field is covered with grass except for the rectangular cemented region with sides: (6 + x) ft and (6 - 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}(37+x)(37-x)-(6+x)(6-x)\end{equation}

3.

A rectangular prism has length of (x + 7), width of (x - 3) and height of ($\frac{x}{2} - 8$). Write a polynomial to represent the volume of the prism.

\begin{equation}(x+7)(x-3)(\frac{x}{2}-8)\end{equation}