Chapter 8, Problem 25CR

To determine

To find:The GCF of the terms of the polynomial and factorization of $4g^2+8g$

Answer to Problem 25CR

  $4g(g+2)$

Explanation of Solution

Given information:The expression $4g^2+8g$

Calculation:

The GCF of the terms of the polynomial are,

  $\begin{array}{l}4g^2=2\cdot 2\cdot g\cdot g\\ 8g=2\cdot 2\cdot 2\cdot g\end{array}$

The GCF is $2\cdot 2\cdot g\text{ or }4g$ .

Factoring out the GCF,

  $\begin{array}{c}4g^2+8g=4g(g)+4g(2)\\ =4g(g+2)\end{array}$

Thus, $4g^2+8g=4g(g+2)$