Question

-2b^2-5b+12 factor the trinomial

Answer 1

Answer: −(b+4)(2b−3)

Step-by-step explanation:

1. Factor out the negative sign.

−(2b^2+5b−12)

2. Split the second term in 2b^2+5b−12 into two terms.

−(2b^2+8b−3b−12)

3.Factor out common terms in the first two terms, then in the last two terms.

−(2b(b+4)−3(b+4))

4. Factor out the common term b+4b+4b+4.

−(b+4)(2b−3)