Find the values of `a` and `b` so that the polynomial `x^3+10 x^2+a x+b` is exactly divisible by `x-1` as well as `x-2.`

Find the values of a and b so that the polynomial (x^(3)-10x^(2)+ax+b) is exactly divisible by (x-1) as well as (x-2) .

Find the values of a and b so that the polynomial x^3+10 x^2+ax+b is exactly divisible by x-1 as well as x-2.

Find the values of a and b so that the polynomial x^(3)+10x^(2)+ax+b is exactly divisible by x-1 as well as x-2 .

Find the values of a and b so that the polynomial (x^(3)-10x^(2)+ax+b) is exactly divisible by (x -1) as well as (x -2).

Find the value of a and b so that the polynomial x^(3)+10x^(2)+ax+b is exactly divisible by (x-1) and (x-2).

Find the values of a and b so that the polynomial (x^(4)+ax^(3)-7x^(2)-8x+b) is exactly divisible by (x+2) as well as (x+3)

Find the value of a and b so that the polynomial p(x)=x^(4)+x^(3)+8x^(2)-ax+b is exactly divisible by x^(2)-1 .

Find the values of a and b such that the polynomial x^4+x^3+8x^2+ax+b is divisible by x^2+1 .

find the values of a and b so that the polynomial f(x)=3x^(3)+ax^(2)-13x+b is divisible by x^(2)-2x-3

Find the value of a and b so that the polynomial x^3-ax^2-13x+b has (x-1) and (x+3)as factor.