Answer
a. $7(n^2 - 3)$
b. $9(x + 2)(x - 1)$
c. $4(x^2 + 2x + 3)$
Work Step by Step
a. Factor out the greatest common factor, $7$:
$7(n^2 - 3)$
b. Factor out the greatest common factor, $9$:
$9(x^2 + x - 2)$
What is within the parentheses can be factored further.
We have a quadratic expression in the form $ax^2 + bx + c$.
Find factors whose product is $ac$, which is $1(-2)$ or $-2$ in this case, but sum up to $b$, which is $1$ in this case.
List possible factors:
$2$ and $-1$
Rewrite the expression using the factors:
$9(x + 2)(x - 1)$
c. Factor out the greatest common factor, $4$:
$4(x^2 + 2x + 3)$
The trinomial can no longer factored.
