2b^2+10b+12

Question

Look for a GCF first, then factor the remaining trinomial

Answer 1

First, let's look for the greatest common factor (GCF) of the terms in the trinomial 2b^2 + 10b + 12.

The GCF of 2, 10, and 12 is 2.

Now let's factor out the GCF of 2 from the trinomial:

2b^2 + 10b + 12
= 2(b^2 + 5b + 6)

Next, let's factor the remaining trinomial b^2 + 5b + 6.

To factor b^2 + 5b + 6, we need to find two numbers that multiply to 6 and add to 5. These numbers are 2 and 3.

So, the factored form of the trinomial 2b^2 + 10b + 12 is:

2(b + 2)(b + 3)