The cubic polynomial $ax^3+bx^2+x+6$ is exactly divisible by $(x+1)(x-2)$. Find the values of \(

Question

The cubic polynomial $ax^3+bx^2+x+6$ is exactly divisible by $(x+1)(x-2)$. Find the values of $a$ and $b$. the three roots of the polynomial. the remainder when the polynomial is divided by $(x-1)$.

Accepted Answer

$a=1$, $b=-4$; roots $-1,2,3$; remainder $4$.

IB Math HL January 2016 P1 Q2

IB Math HL January 2016 P1 Q2

Solution:

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