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

If (x+a) is a factor of both the quadratic polynomials x^(2) + px+ q and x^(2) + lx + m , where p,q,l and m are constants, then which one of the following is correct?

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

If (x+a) is the factor of the polynomials (x^(2)+px+q) and (x^(2)+mx+n) , then the value of 'a' 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+2)and(x-1) are factors of the polynomial p(x)=x^(3)+10x^(2)+mx+n then

If p - q is a factor of the polynomial p^(n)-q^(n) , then n is ________.