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Remainder and factor theorems

Last attempts:

Let $f(x)=x^{3} + ax^{2} + bx + 50$. Given that

• $x -3$ is a factor of $f(x)$,
• When dividing $f(x)$ by $x + 2$, the remainder is $35$.

What is the value of $a$ and $b$?

answer

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