Given $\mathrm{f}(x)=2{{x}^{3}}+3{{x}^{2}}-11x-6$, find the remainder when \(\mathrm{f}\left( x \r

Question

Given $\mathrm{f}(x)=2{{x}^{3}}+3{{x}^{2}}-11x-6$, find the remainder when $\mathrm{f}\left( x \right)$ is divided by $2x+5$. Find the remainder when ${{x}^{3}}+3x-2$ is divided by $x+2$. Find the remainder when ${{(x+2)}^{3}}(x-1)-6x+3$ is divided by $x+3$.

Accepted Answer

(i) $9$ (ii) $-16$ (iii) $25$

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

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

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