The expressions $2{{x}^{3}}+3a{{x}^{2}}-x+a$ and $-{{x}^{3}}+2a{{x}^{2}}+a+4$ have the same rema

Question

The expressions $2{{x}^{3}}+3a{{x}^{2}}-x+a$ and $-{{x}^{3}}+2a{{x}^{2}}+a+4$ have the same remainder when divided by $\left( x+2 \right)$, find: the value of $a$, the remainder.

Accepted Answer

(i) ${a = \frac{13}{2}}$ (ii) $= {\frac{141}{2}}$

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

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

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