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

Question

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

Accepted Answer

(i) $395$ (ii) $45$ (iii) $-21$

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

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

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