" 37.Show that "(x-5)" is a factor of "x^(3)-3x^(2)-4x-30.

Show that (x+ 2) is a factor of x^(3) -4x^(2) - 2x + 20

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

Using factor theorem show that : (x-2) is a factor of x^3-3x^2+4x+4

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

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

By actual division show that x+2 is a factor of x^(3)+4x^(2)+3x^(2)-20 .

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

Show that 2x+1 is a factor of polynomial 2x^(3)-11x^(2)-4x+1