SOLUTION: how do I factor this polynomial? Thank you for your help :) 64x to the second -81.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: how do I factor this polynomial? Thank you for your help :) 64x to the second -81.      Log On


   

Question 141880: how do I factor this polynomial? Thank you for your help :)


64x to the second -81.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
64x%5E2-81
This polynomial is of the form
z%5E2-a%5E2
which factors to
z%5E2-a%5E2=%28z-a%29%28z%2Ba%29
Let's look at each of the expressions.
z%5E2=64x%5E2
z=8x
a%5E2=81
a=9
So when you plug that in, you get,
64x%5E2-81=%288x-9%29%288x%2B9%29