Algebra-1 Problems

5.12 Multiplication and Addition of Polynomials


Problem #

Problem Statement

Problems Similar To

1.

Solve

\begin{equation}(9x+6)(9x-4)+(7x-10)(2x+3)\end{equation}

2.

A rectangular field has sides: (42 + x) ft and (42 - x) ft respectively. The entire field is covered with grass except for the rectangular cemented region with sides: (3 + x) ft and (3 - 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}(42+x)(42-x)-(3+x)(3-x)\end{equation}

3.

A rectangular prism has length of (x + 7), width of (x - 8) and height of ($\frac{x}{5} - 3$). Write a polynomial to represent the volume of the prism.

\begin{equation}(x+7)(x-8)(\frac{x}{5}-3)\end{equation}