SOLUTION: given x-2, use synthetic division and factor completely f(x)= -4x^3 -24x^2 + 64x

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Question 747788: given x-2, use synthetic division and factor completely f(x)= -4x^3 -24x^2 + 64x
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=-4%2Ax%2A%28x%5E2%2B6x-16%29 because the right-side is factorable into that.


2______|______1_______6_______-16
_______|
_______|______________2_______16___
____________________________________
______________1_______8_______0

Quotient is (x+8).

Complete factorization is highlight%28f%28x%29=-4x%28x-2%29%28x%2B8%29%29.