Polynomials, Cubic Equations and Partial Fractions - Polynomial Division and Remainders

Polynomials, Cubic Equations and Partial Fractions - Polynomial Division and Remainders

TGM Original Questions

Divide \(2{{x}^{4}}+2{{x}^{3}}+{{x}^{2}}+7\) by \(2x+3\), and state the quotient and remainder.

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Answer:Quotient \( = x^3 - \frac{1}{2}x^2 + \frac{5}{4}x - \frac{15}{8} \) ; Remainder \( = \frac{101}{8} \)

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