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What is the remainder?

Algebra
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The polynomial y^3+y^2+my-7 has the same remainder when it is divided by either y-1 or y+1.  What is the remainder?

Apr 21st, 2015

y^3 + y^2 + my - 7 / y+1 = y^2 + m - (m+7)/(y^2+m) (remainder in bold)

y^3 + y^2 + my - 7 / y-1 = y^2 + 2y + 2 + m + (m-5)/(y^2+2y+2+m)  (remainder in bold)

These remainders are not the same

Apr 21st, 2015

Correction: The remainder for the first one is -(m+7)/(y+1)

The remainder of the second is (m-5)/(y-1)

But they are still not the same

Apr 21st, 2015

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