Let f(x) be a polynomial with integral coefficients. If f(1) and f(2) both are odd integers, prove that f(x) = 0 can' t have any integral root.

If f(x)=x^3+b x^2+c x+d and f(0),f(-1) are odd integers, prove that f(x)=0 cannot have all integral roots.

If f(x)=x^3+b x^2+c x+d and f(0),f(-1) are odd integers, prove that f(x)=0 cannot have all integral roots.

Let f(x) be a quadratic polynomial with integer coefficients such that f(0) and f(1) are odd integers.then prove that the equation f(x)=0 does not have an integer solution

If f(x)=x^3+b x^2+c x+da n df(0),f(-1) are odd integers, prove that f(x)=0 cannot have all integral roots.

If f(x)=x^(3)+bx^(2)+cx+d and f(0),f(-1) are odd integers,prove that f(x)=0 cannot have all integral roots.

Let f(x) be a polynomial such that f(-1/2)=0

Let f(x) be a quadratic polynomial with f(2)=-2 . Then the coefficient of x in f(x) is-

If f(x) is a polynomial of degree 5 with real coefficients such that f(|x|)=0 has 8 real roots, then f(x)=0 has

If f(x) is a polynomial of degree 5 with real coefficients such that f(|x|)=0 has 8 real roots, then f(x)=0 has