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.

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Mathematics

Coconut

21 December, 23:41

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.

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Dayanara · 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