8x^4+44x^3+56x^2
8x4 +44x3 +56x2
4x2 (2x2+11x+14)
4x2 (2x2 +11x +14)
4x2 (x )(2x ) ( +2)( +7)
4x2 (x+2)(2x+7)
Factor:
4x2 (x+2)(2x+7)
Check:
4x2 (x+2)(2x+7)
4x2 (x)(2x) (x)(+7) (+2)(2x) (+2)(+7)
4x2 ( 2x2 +7x +4x +14)
4x2 (2x2 + 11x +14)
4x2(2x2+9x+14)
(4x2)(2x2) +4x2(9x) +4x2(14)
8x4+36x3+56x2