Split the second term in 5x^2 + 12 - 32 into two terms
5x^2 + 20x - 8x - 32
Factor out common terms in the first two terms, then in the last two terms
5x(x + 4) - 8(x + 4)
Factor out the common term: x + 4
(x + 4)(5x - 8)
[tex]5x^2+12x-32=5x^2+20x-8x-32=5x(x+4)-8(x+4)\\\\=\boxed{(x+4)(5x-8)}[/tex]
