SOLUTION: Find the quotient and remainder of f(x)=x^4-2 divided by p(x)=x-1.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the quotient and remainder of f(x)=x^4-2 divided by p(x)=x-1.      Log On


   

Question 44816This question is from textbook ALGEBRA and TRIGONOMETRY
: Find the quotient and remainder of f(x)=x^4-2 divided by p(x)=x-1. This question is from textbook ALGEBRA and TRIGONOMETRY

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Use Synthetic Division To Get:
x^3 + x^2 + x + 1 - 1/(x - 1)
Check:
(x^3 + x^2 + x + 1 - 1/(x - 1))(x - 1)
x^4 + x^3 + x^2 + x - x^3 - x^2 - x - 1 - 1
x^4 - 2