[" 1.If "n+1" is a factor of the polynomial "],[2n^(2)+1

If (x-1) is a factor of the polynomial 2x^(2)-2a then find the value of a .

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

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

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-c is a factor of order m of the polynomial f(x) of degree n(1

If x-c is a factor of order m of the polynomial f(x) of degree n (1 < m < n) , then find the polynomials for which x=c is a root.

If x-c is a factor of order m of the polynomial f(x) of degree n (1 < m < n) , then find the polynomials for which x=c is a root.

If x-c is a factor of order m of the polynomial f(x) of degree n (1 < m < n) , then find the polynomials for which x=c is a root.

If x-2 and x-1/2 both are the factors of the polynomial nx^2 -5x+m , then show that m=n=2.

If m, n be natural numbers and (x^(2)-n) be a factor of the polynomial (ax^(2m)+bx^(2m+1)-1) , then prove that a=(1/n)^(m)andb=0 .