Question

What is the factorization of the following trinomial? 15x2 - 44x - 36

Answer 1

$15x^2-44x-36$

$=(15x^2+10x)+(-54x-36)$

factor out  5x from $15x^2+10x = 5x(3x+2)$

Factor out -18 from $-54x-36 = -18(3x+2)$

$=5x(3x+2)-18(3x+2)$

Factor out common term $(3x+2)$

$= (3x+2)(5x-18)$

hope this helps!