" Yadi "x^(2)+px+q" And "x^(2)+mx+n" Of "|क" Factor "(x+a)" है,तब 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 x^2+px+q and x^2+mx+n , show that a= (n-q)/(m-p) ​ .

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 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 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 the difference of the roots of equation x^(2)+2px+q=0 and x^(2)+2qx+p=0 are equal than prove that p+q+1=0.(p!=q)

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 the equation x^2+px+q=0 and x^2+p'x+q'=0 have a common root , prove that , it is either (pq'-p'q)/(q'-q) or, (q'-q)/(p'-p) .