Chapter 14.7, Problem 12PPS

To determine

To calculate: The factors of the polynomial $24xy+18x{y}^2-3y$ .

Answer to Problem 12PPS

The factors of the polynomial $24xy+18x{y}^2-3y$ is $3y\left(8x+6xy-1\right)$ .

Explanation of Solution

Given Information:

The polynomial expression is $24xy+18x{y}^2-3y$ .

Calculation:

The given polynomial is $24xy+18x{y}^2-3y$ .

Now, find the factors of the polynomial $24xy+18x{y}^2-3y$ .

  $\begin{array}{c}24xy+18x{y}^2-3y=3y\times 8x+3y\times 6xy-3y\times 1\\ =3y\left(8x+6xy-1\right)\end{array}$

Hence, the factors of the polynomial $24xy+18x{y}^2-3y$ is $3y\left(8x+6xy-1\right)$ .