Find the roots of `ax^(2)+bx+6` if the polynomial `x^(4)+x^(3)+8x^(2)+ax+b` is exactly divisible by `x^(2)+1`

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 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 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^(3)+10x^(2)+ax+b is exactly divisible by x-1 as well as x-2 .

If ax^(2)+bx+c is exactly divisible by 4x+5 , then

If ax^(4)+bx^(3)+cx^(2)+dx is exactly divisible by x^(2)-4 then (a)/(c) is ______.

026: Find the values of a and b such that x^(4)+x^(3)+8x^(2)+ax+b is exactly divisible by x^(2)+1