This can be factored into the product of two binomials.
We are going to setup two sets of parenthses and inside each set of parenthses will be the two terms that compose each binomial.
The first term in each binomial will be a factor of the p² term.
Since p² breaks down into p · p, we use a p
as the first position in each binomial.
The second term in each binomial will be the factors of
our constant term that add to the coefficient of the middle term.
These factors are +16 and +2.
So our answer is (p + 16)(p + 2).
Check out the image provided.
I have showed the different pairs of factors of 32.
However, only +16 and +2 add to the coefficient of the middle term.