Question

6x² + 3x - 18
which of the expressions below matches with the one above? (factor out 3, or use desmos testing calculator)
○ 3(2x² + x - 9)
○ 3(2x² + x - 6)
○ 3(x² + x - 6)
○ 3(2x² + x - 2)

Explanation:

Step1: Factor out 3 from each term

Divide each term in $6x^2 + 3x - 18$ by 3:
$\frac{6x^2}{3} + \frac{3x}{3} - \frac{18}{3} = 2x^2 + x - 6$

Step2: Rewrite with factored 3

Multiply the result by 3 to retain equivalence:
$3(2x^2 + x - 6)$

Answer:

1. $3(2x^2 + x - 6)$