Algebra-1 Problems

5.12 Multiplication and Addition of Polynomials


Problem #

Problem Statement

Problems Similar To

1.

Solve

\begin{equation}(2x+4)(5x-2)+(8x-4)(2x+4)\end{equation}

2.

A rectangular field has sides: (55 + x) ft and (55 - x) ft respectively. The entire field is covered with grass except for the rectangular cemented region with sides: (10 + x) ft and (10 - 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}(55+x)(55-x)-(10+x)(10-x)\end{equation}

3.

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

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