Algebra-1 Problems

5.12 Multiplication and Addition of Polynomials


Problem #

Problem Statement

Problems Similar To

1.

Solve

\begin{equation}(7x+4)(5x-8)+(5x-2)(6x+10)\end{equation}

2.

A rectangular field has sides: (56 + x) ft and (56 - 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}(56+x)(56-x)-(7+x)(7-x)\end{equation}

3.

A rectangular prism has length of (x + 4), width of (x - 5) and height of ($\frac{x}{5} - 10$). Write a polynomial to represent the volume of the prism.

\begin{equation}(x+4)(x-5)(\frac{x}{5}-10)\end{equation}