Find values of `a` and `b` if `(x^(2)+1)` is a factor of the polynomial `x^(4)+x^(3)+8x^(2)+ax+b`

Find the value of a, if (x +2) is a factor of the polynomial f(x) = x^(3) + 13x^(2) + ax + 20

Find the value of a if (x -a) is a factor of the polynomial x^(6)-ax^(5)+x^(4)-ax^(3)+3x-a+2

Find the value of a if x - a is a factor of the polynomial x^(5)-ax^(4)+x^(3)-ax^(2)+2x+3a-2 .

Find the value of 'k' if x+3, is a factor of the polynomial x^(4)-x^(3)-11x^(2)-x+k .

Find the values of a and b if x^(2)-4 is a factor of ax^(4)+2x^(3)-3x^(2)+bx-4

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)

If (x-1) is a factor of the polynomial 2x^(2)-2a then find the value of a .

Find the values of a and b so that (x+1) and (x-1) are factors of x^(4)ax^(3)-3x^(2)+2x+b

If x=-(1)/(2) is a zero of the polynomial p(x)=8x^(3)-ax^(2)-x+2, find the value of