Using the factor theorem, show that `(x-2)` is a factor of `x^(3) +x^(2) -4x -4`. Hence factorise the polynomial completely.

Using the factor theorem, show that (x-2) is a factor of 3x^(2)-5x-2 . Hence factorise the given expression.

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.

By actual division show that x+2 is a factor of x^(3)+4x^(2)+3x-2 .

Show that (x - 1) is a factor of x^(3)-7x^(2)+14x-8 Hence, completely factorise the given expression.

x^3-2x^2-x+2 Factorize the polynomial,

Show that (x-3) is a factor of the polynomial x^(3)+x^(2)-17x+15 .

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

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