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

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

Find the value of a if (1 - 2x) is a factor of the polynomial (2x^(4)-ax^(3)+4x^(2)+2x+1) .

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

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

If (x^(2)-2) be a factor of the polynomial (ax^(3)-bx^(2)-4) , find the values of a and b.

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 .