Algebra-1 Problems

5.12 Multiplication and Addition of Polynomials


Problem #

Problem Statement

Problems Similar To

1.

Solve

\begin{equation}(7x+9)(10x-4)+(6x-10)(3x+5)\end{equation}

2.

A rectangular field has sides: (53 + x) ft and (53 - x) ft respectively. The entire field is covered with grass except for the rectangular cemented region with sides: (6 + x) ft and (6 - 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}(53+x)(53-x)-(6+x)(6-x)\end{equation}

3.

A rectangular prism has length of (x + 3), width of (x - 5) and height of ($\frac{x}{9} - 3$). Write a polynomial to represent the volume of the prism.

\begin{equation}(x+3)(x-5)(\frac{x}{9}-3)\end{equation}