Find the values of a and b so that the polynomial (x4+ax3−7x2−8x+b) is exactly divisible by (x + 2) as well as (x +3).

Find the values of a and b so that the polynomial (x4+ax3−7x2−8x+b

1.	Find the values of a and b so that the polynomial (x4+ax3−7x2−8x+b) is exactly divisible by (x + 2) as well as (x +3).
Answer» Find the values of a and b so that the polynomial $(x^{4} + a x^{3} - 7 x^{2} - 8 x + b)$ is exactly divisible by (x + 2) as well as (x +3).