If `(x+a)` is a factor of `2x^2+2a x+5x+10` , find `a` .

If x+a is a factor of 2x^(2)+2ax+5x+10 , find the value of a.

(i) If 2x + 1 is a factor of 2x^2+ ax- 3, find the value of a. (ii) Find the value of k, if 3x -4 is a factor of expression 3x^2+ 2x -k.

If (x+ p) is a factor of the polynomial 2x^2 +2px+5x 10 . find p.

If x-2 is a factor of x^(2)-7x+2a , find the value of a.

If (x+ p) is a factor of the polynomial 2x^2 +2px+5x+10 . find p.

Find the value of a, if x -2 is a factor of 2x^5- 6x^4 -2ax^3+ 6ax^2+ 4ax + 8.

If x+1 is a factor of x^(3)-5x^(2)+kx+2 , then k=

Find the value of 'k' if (x-2) is a factor of x^3+2x^2-kx+10 . Hence determine whether (x+5) is also a factor.

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.