The expression x^2-4x-2 has the same remainder when it is divided by either x-a or x-b (a is not equal to b) show that a+b =4. Given also that the remainder is 10 when the expression is divided by x-2a. Find values of a and b.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.5: Using The Distributive Property
Problem 64PFA
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The expression x^2-4x-2 has the same remainder when it is divided by either x-a or x-b (a is not equal to b) show that a+b =4. Given also that the remainder is 10 when the expression is divided by x-2a. Find values of a and b.
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