Find the remainder when $3{{x}^{4}}-2{{x}^{3}}+5{{x}^{2}}-4x+7$ is divided by $x-3$. Given&

Question

Find the remainder when $3{{x}^{4}}-2{{x}^{3}}+5{{x}^{2}}-4x+7$ is divided by $x-3$. Given $\mathrm{g}\left( x \right)=4{{x}^{3}}-2{{x}^{2}}+7x-5$, find the remainder when $\mathrm{g}\left( x \right)$ is divided by $x-1$. Determine the remainder when $2{{x}^{5}}+3{{x}^{4}}-5{{x}^{3}}+4{{x}^{2}}-6x+1$ is divided by $x+2$.

Accepted Answer

(i) $229$ (ii) $4$ (iii) $53$

Polynomials, Cubic Equations and Partial Fractions - Remainder and Factor Theorems

Polynomials, Cubic Equations and Partial Fractions - Remainder and Factor Theorems

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