if x+a is a factor of the polynomials `x^2+px+q` and `x^2+mx+n` prove that `a = (n-q)/(m-p)`

If (x+a) is a factor of the polynomials x^(2)+px+q=0 and x^(2)+mx+n=0 prove a=(n-q)/(m-p)

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

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

If (x + a) is a factor of two polynomials x^(2)+px+q and x^(2)+mx+n , then a is equal to

If (x+p) is a factor of the polynomial 2x^(2)+2px+5x10. find p.

If (x-k) is a factor of the polynomials x^(2)+px+q & x^(2)+mx+n .The value of "k" is

If (x + b) be a common factor of both the polynomials (x^(2)+px+q)and(x^(2)+kx+m) then prove that b=(q-m)/(p-1) .

If (x+a) is the factor of the polynomials (x^(2)+px+q) and (x^(2)+mx+n) , then the value of 'a' is