Question

algebra
lesson 2.2 - using gcf to factor
knowledge check
what is the gcf of $6x^2 + 12x$?
a. $6x$
b. $6$
c. $x$
d. $12$

Explanation:

Step1: Factor each term

$6x^2 = 2 \times 3 \times x \times x$
$12x = 2 \times 2 \times 3 \times x$

Step2: Identify common factors

Common factors: $2, 3, x$

Step3: Multiply common factors

$\text{GCF} = 2 \times 3 \times x = 6x$

Answer:

a. 6x