[" If "cx+a" is a fretor of two polymernuids "x^(2)+px+q],[" and "x^(2)+mx+m" ,then prove that "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 the polynomials x^(2)+px+q=0 and x^(2)+mx+n=0 prove a=(n-q)/(m-p)

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 a common factor of expression f(x)=x^(2)+px+q and g(x)=x^(2)+mx+n , show that a=(n-q)/(m-p) .

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

If x+a is a factor of x^2+px+q and x^2+mx+n , show that a= (n-q)/(m-p) ​ .

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?