project work : division algorithm for polynomials with example
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Step-by-step explanation:
xample 6: On dividing x3 – 3x2 + x + 2 by a polynomial g(x), the quotient and remainder were x – 2 and –2x + 4, respectively. Find g(x). Hence, g(x) = x2 – x + 1.
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Division Algorithm for Polynomials: If f(x) and g(x) are any two polynomials with g(x)≠0, then f(x)=g(x)⋅q(x)+r(x), where r(x)=0 or deg r(x) < deg g(x)
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