Question

factoreo: 2x3 - 3x2 - 3x + 2 =

Answer 1

$2x^3 - 3x^2 - 3x + 2 = (2x^3+2)-(3x^2 +3x) \\ 2x^3 - 3x^2 - 3x + 2 = 2(x^3+1)-3x(x+1) \ \ \boxed{Obs: x^3+1=(x+1)(x^2-x+1)} \ \ 2x^3 - 3x^2 - 3x + 2 = 2(x+1)(x^2-x+1)-3x(x+1) \\ 2x^3 - 3x^2 - 3x + 2 = (x+1)(2x^2-2x+2-3x) \\ 2x^3-3x^2-3x+2=(x+1)(2x^2-5x+2) \\ \boxed{Obs: 2x^2-5x+2=(x-2)(2x-1)} \\ \ \ Por lo tanto: \ \ \boxed{2x^3-3x^2-3x+2=(x+1)(x-2)(2x-1)} \ \ Saludos!!$