00:01
We're being asked to factor the given trinomial.
00:02
Well remember, anytime you're factoring trinomials, you want them written in standard form, meaning you want to start with the w -squared so 16 -w -squared, followed by your linear term, with the w, so that's plus 10 -w, and then your last term is your constant, plus 1.
00:20
So now we're going to go ahead and factor using the ac method.
00:24
So i'll begin by multiplying the first and last coefficients.
00:27
Well, 16 times 1 is just equal to 16.
00:30
So now we need to find two numbers that multiply the 16 that add to our middle coefficient of 10.
00:36
So in this case, i'm thinking 8 and 2, because 8 times 2 is 16 and 8 plus 2 10.
00:42
Perfect.
00:43
So now we're going to rewrite our problem, but in the place of our middle term, we're going to substitute in 8w plus 2w.
00:51
So that will leave us with 16w squared plus 8w plus 2w plus 1...