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**scrible** I have a log problem bothering me the question goes Prove that when a polynomial $\displaystyle f(x)$ is divided by $\displaystyle ax + b$, where a is not equal to 0 the remainder is $\displaystyle f(-b/a)$.

Find the polynomial in x of the third degree, which vanishes when $\displaystyle x =-1$ and $\displaystyle x=2$, has the value 8 when $\displaystyle x=0$ and leaves the remainder $\displaystyle 16/3$ when divided by $\displaystyle 3x +2$. someone please help me to figure this problem out. Thanks in advance.