Question

When the polynomial P(x) = x3 + 3x2-2Ax + 3, where A is a constant, is divided by x2 + 1 we get a remainder equal to -5x. Find A. ​

Answer 1

Divide x(3 + 3x2 -2Ax + 3) by (x2 + 1) to obtain a remainder = -x(1 + 2A)

-x(1 + 2A) = 5x : remainder given

-(1 + 2A) = 5 : polynomials are equal if they corresponding coefficient area equal.

A = -3

Answer 2

A= -3

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