factor the trinomial 4x^2 + 36x + 32

Question

factor the trinomial completely

Answer 1

Given trinomial is 4x^2+36x+32

Take common out 2 from given trinomial.

= 2(2x^2+18x+16)

Now factorize 2x^2+18x+16

= 2x^2+16x+2x+16

= 2x(x+8)+2(x+8)

= (2x+2)(x+8)

Factoring of given trinomial is 2(2x+2)(x+8) = (4x+4)(x+8)