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

Find the value of 'k' if : (i) x+5, is a factor of 2x^(3)+kx^(2)-11x-30 " " (ii) 2x-1 , is a factor of 2x^(3)-7x^(2)+11x-7+k

Factorize 3x^2-11x-4

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

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

For what value of a is (x-5) a factor of x^3-3x^2+a x-10 ?

If x-3 is a factor of x^2-a x-15 , then a= (a) -2 (b) 5 (c) -5 (d) 3

If x^(2) - 3x + 2 is factor of x^(4) - px^(2) + q then 2q - p is equal to