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Find the quotient and the remainder when f(x) = x^4-3x²+4x+5 is divided by g(x)=x²+1-x

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One of the most important and conceptual question from polynomials in which we have given that f(x) = x^4-3x²+4x+5 and g(x)=x²+1-x and we have been asked to find the quotient and remainder by dividing.

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 2B, question no 7


1 Answer

  1. Clearly, the quotient is +x3 and the remainder is 8.

    Hence, Q=+x3 and R=8.

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