Algebra-1 Problems

5.12 Multiplication and Addition of Polynomials


Problem #

Problem Statement

Problems Similar To

1.

Solve

\begin{equation}(2x+8)(4x-9)+(2x-9)(4x+10)\end{equation}

2.

A rectangular field has sides: (92 + x) ft and (92 - x) ft respectively. The entire field is covered with grass except for the rectangular cemented region with sides: (7 + x) ft and (7 - 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}(92+x)(92-x)-(7+x)(7-x)\end{equation}

3.

A rectangular prism has length of (x + 10), width of (x - 6) and height of ($\frac{x}{4} - 3$). Write a polynomial to represent the volume of the prism.

\begin{equation}(x+10)(x-6)(\frac{x}{4}-3)\end{equation}