Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following

p(x) = x^{4} – 5x + 6, g(x) = 2 – x^{2}

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#### Solution

Quotient = - x^{2} - 2

Remainder = - 5x +10

Concept: Division Algorithm for Polynomials

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