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

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

Show that 2x + 7 is a factor of 2x^3 + 7x^2 - 4x - 14 Hence, solve the equation: 2x^3 + 7x^2 - 4x - 14 = 0.

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

Factorize: x^3+6x^2+12 x+16

Show that (i) x+3 is factor of 69+11x-x^(2)+x^(3) (ii) 2x-3 is factor of x+2x^(3)-9x^(2)+12

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

Show that : (i) x -2 is a factor of 5x^2+ 15x- 50. (ii) 3x + 2 is a factor of 3x^2 -x - 2.

Find the value of a , if x-a is a factor of x^3-a^2x+x+2

Show that : (i) x-5, is factor of x^(2)-11x+30 " " (ii) (x+2 , is a factor of x^(2)+3x+2 (iii) x-3, is a factor of 2x^(3)+7x^(2)-24x-45 " " (iv) 3x-2 , is a factor of 3x^(3)+x^(2)-20x+12 (v) x-1, is a factor of x^(3)-10x^(2)+23x-14 " " (vi) x-2 , is a factor of x^(3)-3x^(2)-x+6