Question

find the polynomial which when divided by x^2+2x-1 gives a quotient x-1 and remainder 5

Answer 1

Ans: x^3 + x^2 - 3x + 6

Answer 2

(x^2+2x-1)*(x-1)+5
= (x^3+2x^2-x-x^2-2x+1)+5
= x^3+x^2-3x+5
Thus, the polynomial is x^3+x^2-3x+5.
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