The number of factors of the polynomial `(x^(2)+bx+c)` is

If (x^(2)-2) be a factor of the polynomial (ax^(3)-bx^(2)-4) , find the values of a and b.

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 .

If (x - 1) is a factor of the polynomial f(x), but not a factor of the polynomial g(x), then (x - 1) is a factor of which one of the followings ?

If (x^(2)-1) be a factor of the polynomial f(x)=ax^(4)+bx^(3)+cx^(2)+dx+e , then which of the followings is true ?

If alpha, beta are the zeros of the polynomial f(x) = ax^(2) + bx + c then 1/(alpha^2) + 1/(beta^2) = …………….

Fill in the blank: The sum of zeroes in the polynomial ax^2-bx+c is ________.