The Remainder and Factor Theorems

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enya12

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Given a polynomial and one of its factors, find the remaining factors of the polynomial.

x^3+x^2-10x+8; x+2

I used the Synthetic division and i got for the result 1 3 -4 0

X^3+x^2-10x+8
(x-2)(X^2+3x-4)

depressed polynomial: x^2+3x-4
(x+3)(x-1)
so X^3+x^2-10x+8=(x-2)(x+3)(x-1) 2 is a zero

What do i do next?
 
you're done. That's how the problem is solved. The other zeros are:

x - 2 = 0; x = 2
x + 4 = 0; x = -4
x - 1 = 0; x = 1

EDIT: Corrected
 
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