SOLUTION: Divide the polynomials. (a^2 − 28) ÷ (a − 5)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Divide the polynomials. (a^2 − 28) ÷ (a − 5)      Log On


   



Question 319833: Divide the polynomials.
(a^2 − 28) ÷ (a − 5)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First term : a
a%28a-5%29=a%5E2-5a
Subtract this product from the original polynomial to get the remainder,
%28a%5E2-28%29-%28a%5E2-5a%29=5a-28
.
.
.
Second term: 5
5%28a-5%29=5a-25
Subtract this product from the remainder to get the new remainder,
%285a-28%29-%285a-25%29=-3
No further division is possible.
.
.
.
Gather up the terms and the remainder.
%28a%5E2-28%29%2F%28a-5%29=%28a%2B5%29-3%2F%28a-5%29