When is divided by

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

When 2x4−3x3+4x2−5x+12x^4-3x^3+4x^2-5x+1 is divided by x2−x+2x^2 - x + 2, the quotient and remainder respectively are (a) 2x2−x+1,  −4x+32x^2 - x + 1,\;-4x + 3 (b) 2x2−x−1,  4x−32x^2 - x - 1,\;4x - 3 (c) 2x2−x−1,  −4x+32x^2 - x - 1,\;-4x + 3 (d) 2x2+x−1,  −5x+32x^2 + x - 1,\;-5x + 3

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