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

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

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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) (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
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