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

(x + a) will be a factor of the polynomial p(x)=x^(n)+a^(n) , when-

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 p - q is small compared to either p or q, then show that sqrt(p/q)=((n+1)p+(n-1)q)/((n-1)p+(n+1)q) Hence find sqrt(15/16) .

If p= {Factors of 6 } and Q={Factors of 12 } then, n(P cup Q) _____.

If n(A)=p and n(B)=q then n(AtimesB) ____.

If 0 lt p lt q then Lt_(x to oo)(q^(n)+p^(n))^(1//n)=