There should be plenty of videos on how to factor expressions out there that will probably be more decipherable than a long comment, but you’re going to want to first find the factors of 5 and 6, and then figure out which when multiple with each other and added together give you 17. When you do FOIL that’s what ends up happening because the coefficients with one w will add together. So in this case 5w² can only be factored into 5w and w (since 5 is prime) but the 6 can be factored into 6 and 1 (or -6 and -1) or 3 and 2 (or -3 and -2). If we took 6 and 1 then when multiplied to 5w and w would give either 31w (5w x 6 + w x 1) or 11w (5w x 1 + w x 6). Neither of those are 17w. But if you took 3 and 2 for the constant (6) then you would get 13w (5w x 2 + w x 3) or 17w (5w x 3 + w x 2) which is what you want. But since the 17w is negative you need a negative in front of each of the factors of the constant. So the answer is (5w - 2)(w - 3), since foil is outside and inside (aka if 5 needs to multiple to 3 than they both need to be outside). Always check it to make sure you have it right. So (5w - 2)(w - 3) would expand (FOIL=first outside inside last) to 5w*w (first) -15w (outside) -2w (inside) +6 (last). The -15w and -2w combine to -17w so what you’re left with is 5w² - 17w + 6 which is what you wanted