p(x)=x^3+5x^2+2x-8 which three factors of the polynomail

Answer: (x - 1)(x + 2)(x + 4).Step-by-step explanation:p(x)=x^3+5x^2+2x-8p(1) = 1^3 + 5(1)^2 + 2(1) - 8= 1 + 5 + 2 - 8 = 0, therefore (x - 1) is a factor  (By the Factor Theorem).Divide p(x) by x - 1:       x^2  + 6x + 8   <-------- is the quotientx - 1 ) x^3 + 5x^2 + 2x - 8         x^3 - x^2                  6x^2 + 2x                   6x^2 - 6x                               8x - 8                               8x - 8                               ............and x^2 + 6x + 8 = (x + 2)(x + 4).