Show that `(2x-3)` is a factor of `(x+2x^(3)-9x^(2)+12)`.

Show that ( x- 3) is a factor of x^(3) + 9x^(2) -x - 105

Show that x+1 and 2x-3 are factors of 2x^(3)-9x^(2)+x+12

Show that x+1 and 2x-3 are factors of 2x^(3)-9x^(2)+x+12 .

Show that (x+1) and (2x-3) are factors of 2x^(3)-9x^(2)+x+12

Using the Factor theorem, show that (i) (x-2) is a factor of x^(3)-2x^(2)-9x+18 . Hence factorise the expression x^2-2x^2-9x+18 completely. (ii) (x+5) is a factor of 2x^3+5x^2-28x-15 . Hence factorise the expression 2x^3+5x^2-28x-15 completely. (iii) (3x+2) is a factor of 3x^(3)+2x^(2)-3x-2 . Hence factorise the expression 3x^3+2x^2-3x-2 completely.

Show that (x-3) is a factor of the polynomial x^(3)-3x^(2)+4x-12

Find the quotient and the remainder when By actual division , show that x^(2) - 3" is a factor of " 2x^(4)+3x^(3)-2x^(2)-9x-12.

Show that, x -2 is a factor of x ^(3) - 2x ^(2) + 3x - 6.

Show that x+1 and 2x-3 are factors of 2x^3-9x^2+x+12

Use factor theorem to verify in the following that q(x) is a factor of p(x)=2x^3-9x^2+x+12,q(x)=2x-3 .