Algebra-1 Problems

5.12 Multiplication and Addition of Polynomials


Problem #

Problem Statement

Problems Similar To

1.

Solve

\begin{equation}(2x+7)(4x-9)+(2x-9)(5x+7)\end{equation}

2.

A rectangular field has sides: (65 + x) ft and (65 - 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}(65+x)(65-x)-(9+x)(9-x)\end{equation}

3.

A rectangular prism has length of (x + 4), width of (x - 10) and height of ($\frac{x}{3} - 3$). Write a polynomial to represent the volume of the prism.

\begin{equation}(x+4)(x-10)(\frac{x}{3}-3)\end{equation}