Question

think now: 1.14.2026
factor the following by grouping: $2x^2 + 12x - 3x - 18$
factors: ( ) and ( )

Explanation:

Step1: Group the terms

Group the first two terms and the last two terms: $(2x^2 + 12x) + (-3x - 18)$

Step2: Factor out GCF from each group

Factor out $2x$ from the first group: $2x(x + 6)$; factor out $-3$ from the second group: $-3(x + 6)$

Step3: Factor out the common binomial

Now we have $2x(x + 6) - 3(x + 6)$, factor out $(x + 6)$: $(2x - 3)(x + 6)$

Answer:

$(2x - 3)$ and $(x + 6)$