[" 6.Ind "((ix))/(sqrt(11)x^(2)+px+q^(216)x^(2)+mx+n^(2))],[" cocs ang the "a=(n-q)/(p-m)]

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) .

int(px^(p+2q-1)-qx^(q-1))/(x^(2p+2q)+2x^(p+q)+1)dx

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=(sqrt(p^(2)+q^(2))+sqrt(p^(2)-q^(2)))/(sqrt(p^(2)+q^(2))-sqrt(p^(2)-q^(2))), then q^(2)x^(2)-2p^(2)x+q^(2)=?

If x=(sqrt(p^(6)+q^(2))+sqrt(p^(2)-q^(2)))/(sqrt(p^(2)+q^(2))-sqrt(p^(2)-q^(2))) then q^(2)x^(2)-2p^(2)x+q^(2)=?

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

If p(x)=ax^(2)+bx and q(x)=lx^(2)+mx+n with p(1)=q(1), p(2)-q(2)=1 , and p(3)-q(3)=4 , then p(4)-q(4) is equal to

If p(x)=ax^(2)+bx and q(x)=lx^(2)+mx+n with p(1)=q(1), p(2)-q(2)=1 , and p(3)-q(3)=4 , then p(4)-q(4) is equal to

If x ^(2) -3x+2 is a factor of x ^(4) -px ^(2) +q=0, then p+q=