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

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

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

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.

Find the factors of the polynomial . 1/2x^2-3x+4

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