If `f(x) = x^2 + 5x + p` and `g(x) = x^2 + 3x + q` have a common factor, then `(p - q)^2 =`

If the polynomials f(x) =x^(2)+5x-pandg(x)=x^(2)-2x+6p have a common factor , then find the common factor .

If the polynomials f(x)=x^(2)+6x+pandg(x)=x^(2)+7x+q have a common factor , then which of the following is true?

If the equation x^2 + px + q =0 and x^2 + p' x + q' =0 have common roots, show that it must be equal to (pq' - p'q)/(q-q') or (q-q')/(p'-p) .

If p,q ,r are in G . P , and the equations, p x^2+2 q x+r=0 and d x^2+2 e x+f=0 have a common root, then show that d/p, e/q, f/r are in A . P

If the cubic polynomials x^(3)+ax^(2)+11x+6 and x^(3)+bx^(2)+14x+8 may have a common factor of the form x^(2)+px+q, then (a+p=b+q( b) ap

Let P(x) = 4x^(2) - 3x + 2x^(3) + 5 and q(x) = x^(2) + 2x + 4 find p ( x) - q(x) .

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

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