3. Factor the polynomial by its greatest common monomial factor.

b (b+2) + 3 (b+2)

B (b+2) + 3 (b+2)

Distribute the variable and number into the parentheses

b^2 + 2b + 3b + 6

b^2 + 5b + 6

In order to factor this polynomial, we have to find factors of 6 that would equal 5:

6 + 1 = 7

Hmm, looks like that doesn't work

3 + 2 = 5

Looks like this one works!

Now we factor:

b^2 + 5b + 6 = (b+3) (b+2)

Good luck!