Chapter 4.5, Problem 21WE

To determine

To factor thepolynomial.

Answer to Problem 21WE

The value of polynomial is $\left(y-3\right)\left(x+2\right)$ .

Explanation of Solution

Given information:

  $x\left(y-3\right)+2\left(y-3\right)$

Calculation:

The polynomial can be obtained as

  $\begin{array}{l}x\left(y-3\right)+2\left(y-3\right)\\ =\left(y-3\right)\left[\left(x\right)+\left(2\right)\right]\left[\text{first take out the common factors }\left(y-3\right)\right]\\ \text{=}\left(y-3\right)\left(x+2\right)\end{array}$

Hence,

The value of polynomial is $\left(y-3\right)\left(x+2\right)$ .