Question

factor -9x + 33 using the gcf; 3 (-3x + 11); -9 (x + 4); -3 (3x + 11); 9 (-x + 4)

Explanation:

Step1: Find GCF of coefficients

The coefficients are $-9$ and $33$. The greatest common factor of $9$ and $33$ is $3$.

Step2: Factor out GCF from terms

Divide each term by $3$: $\frac{-9x}{3} = -3x$, $\frac{33}{3} = 11$.
Write as $3 \times (\text{quotients})$: $3(-3x + 11)$

Step3: Verify other options

• $-9(x+4) = -9x -36

eq -9x+33$

• $-3(3x+11) = -9x -33

eq -9x+33$

• $9(-x+4) = -9x +36

eq -9x+33$

Answer:

A. $3 (-3x + 11)$