All possible roots of x^3+2x^2-16x-32

Mathematics · Middle School · Wed Jan 13 2021

Answered on

Given :

x³+2x²-16x-32

Taking common,  we get

x²(x+2) -16(x+2)

(x²-16)(x+2)

x² - 16 = 0

x² = 16

Taking square root of both side, we get

x = ±4

x + 2 = 0

x = -2

So, all roots of x³+2x²-16x-32 is 4,-4, and -2.