Show that `(x +4) ,(x-3) and (x-7)` are factors of `x ^(3) - 6x ^(2) - 19 x + 84.`

Show that (x-2) , (x+3) and (x-4) are factors of x ^(3) -3x ^(2) -10x + 24.

Check whether (x-2) is a factor of x ^(3) - 2x ^(2) - 5x +4

Show that (3x+7)^2-84x = (3x-7)^2

Examine whether x +2 is a factor of x ^(3) + 2x ^(2) + 3x +6

If x - 1 is a factor of x^(5) - 4x^(3) +2 x^(2) - 3x + k = 0 then k is

Find k so that x^(2) +2x + k is a factor of 2x^(4) + x^(3) - 14 x^(2) + 5x + 6 . Also find all the zeros of the two polynomials.

Fractorise the following (i) 6x ^(2) + 19 x + 15

Find the Factor Theorem, x +2 is a factor of x ^(3) + 2x ^(2) + 3x + 6.

Check if g(x) = x^(3) - 3x + 1 is a factor of p(x) = x^(5) - 4x^(3) + x^(2) +3x + 1 .