Use factor theorem to show that `x^(4)+2x^(3)-2x^(2)+2x-3` is exactly divisible by `(x+3)` .

Without actual division,prove that x^(4)+2x^(3)-2x^(2)+2x-3 is exactly divisible by x^(2)+2x-3.

Without actual division, show that f(x) = 2x^(4) - 6x^(3) + 3x^(2) + 3x - 2 is exactly divisible by x^(2)- 3x + 2 .

Prove that (x^3-3x^2-13x+15) is exactly divisible by x^2+2x-3

Without actual division,show that x^(3)-3x^(2)-13x+15 is exactly divisible by (x^(2)+2x-3)

Without actual division, prove that x^4+2x^3-2x^2+2x-3 is exactly divisible by x^2+2x-3.

Without actual division, prove that x^4+2x^3-2x^2+2x-3 is exactly divisible by x^2+2x-3.

Without actual division prove that 2x^(4)-6x^(3)+3x^(2)+3x-2 is exactly divisible by x^(2)-3x+2 is

Using factor theorem,factorize the polynomial x^(4)+x^(3)-7x^(2)-x+6

Use the factor theorem to factorize x ^(3) + x ^(2) - 4x -4 completely.

What must be added to 2x^(4)-5x^(3)+2x^(2)-x-3 so that the result is exactly divisible by ( x-2 ) ?