Chapter 8, Problem 11PT

To determine

The factor of the polynomial using the Distributive property.

Answer to Problem 11PT

The factor of the polynomial is $7ab\left(1+2b+3a\right)$ .

Explanation of Solution

Given:

The polynomial is given as:

  $7ab+14a{b}^2+21a^{2}b$

Using the Distributive property, the polynomial is expressed as:

  $\begin{array}{l}7ab+14a{b}^2+21a^{2}b\\ =7ab\left(1+2b+3a\right)\end{array}$

Therefore, the factorized form is $7ab\left(1+2b+3a\right)$ .