SOLUTION: x+3 is one factor of x to the power of 3 + x to the power of 2-14x-24 which of the following expressions is another factor? A. x-8 b. x+4 C. x-3 d. x+2

Algebra ->  Equations -> SOLUTION: x+3 is one factor of x to the power of 3 + x to the power of 2-14x-24 which of the following expressions is another factor? A. x-8 b. x+4 C. x-3 d. x+2      Log On


   



Question 669990: x+3 is one factor of x to the power of 3 + x to the power of 2-14x-24
which of the following expressions is another factor?
A. x-8
b. x+4
C. x-3
d. x+2

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
x^3 + x^2 - 14x - 24 || (x+3)is one factor
using Synthetic Divsion
-3 1 1 -14 -24
-3 6 24
1 -2 -8 0
results in
x^2 - 2x - 8 = 0
(x-4)(x+2) = 0