SOLUTION: find the number a such that x + 2 is a factor of 4x^3 + ax^2 -5x - 2

Algebra ->  College  -> Linear Algebra -> SOLUTION: find the number a such that x + 2 is a factor of 4x^3 + ax^2 -5x - 2      Log On


   



Question 842266: find the number a such that x + 2 is a factor of 4x^3 + ax^2 -5x - 2
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
synthetic division leads us to the terms
4
a-8
11-2a
4a-24
so 4a-24=0 leads to a=6