Chapter 14.7, Problem 9PPS

To determine

To calculate: The factors of the polynomial $7a^2{b}^2+3a{b}^3$ .

Answer to Problem 9PPS

The factors of the polynomial $7a^2{b}^2+3a{b}^3$ is $a{b}^2\left(7a+3b\right)$ .

Explanation of Solution

Given Information:

The polynomial expression is $7a^2{b}^2+3a{b}^3$ .

Calculation:

The given polynomial is $7a^2{b}^2+3a{b}^3$ .

Now,find the factors of the polynomial $7a^2{b}^2+3a{b}^3$ .

  $\begin{array}{c}7a^2{b}^2+3a{b}^3=a{b}^2\times 7a+a{b}^2\times 3b\\ =a{b}^2\left(7a+3b\right)\end{array}$

Hence, the factors of the polynomial $7a^2{b}^2+3a{b}^3$ is $a{b}^2\left(7a+3b\right)$ .