SOLUTION: Find Each product. (x-1) (x^4+ x^3+ x^2+ 1) answer: x^5-x^2+x-1 need a full break down of how the answer is x^5-x^2+x-1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find Each product. (x-1) (x^4+ x^3+ x^2+ 1) answer: x^5-x^2+x-1 need a full break down of how the answer is x^5-x^2+x-1      Log On


   

Question 172060: Find Each product.
(x-1) (x^4+ x^3+ x^2+ 1)

answer: x^5-x^2+x-1

need a full break down of how the answer is x^5-x^2+x-1
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find Each product.
(x-1) (x^4+ x^3+ x^2+ 1)
-------------------
This is x*(x^4+ x^3+ x^2+ 1) - 1*(x^4+ x^3+ x^2+ 1) Right?
--------------------------------------------------------
=(x^5 + x^4 + x^3 + x) - x^4 - x^3 - x^2 - 1 Ok so far? Now add like terms.
= x^5 -x^2 + x -1