Question

A polynomial $f(x)= x^3 + ax^2 - 3x + b$ when divided by $g__1(x)=x-2$ gives a remainder of $6$ and $f(x)$ is divisible by $g__2(x)= x+1$ . What are the values of $a$ and $b$? Determine the remainder when $f(x)$ is divided by $g(x)= (x-2)(x+1)$

Answer 1

Answer:

solve by hit and trial and then apply long division method