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11 3 - x° + 5x is divided by x + 1? What is the remainder when f(x) = - 2x4 + x' The remainder is

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter5: Polynomial And Rational Functions

Section: Chapter Questions

Problem 27PT: Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and...

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Question

11
3
- x° + 5x is divided by x + 1?
What is the remainder when f(x) = - 2x4 + x'
The remainder is

Expert Solution

Step 1

Find the reminder when

f (x) =-2x* +x" - x' +5x is divided by (x +1)
%3D

Step 2

Using reminder theorem

if x+1=0 =x = -1
f(-1) = -2(-1)* +(-1)" -(-1)' + 5(-1)
S(-1) =-2(1) +(-1)-(-1)+5(-1)
f(-1) = -2 –1+1-5
f(-1) =-7

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