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

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.

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.

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+d and 0 < b^2 < c , then f(x) is

If f(x)=(a-x^(n))^(1/n),agt0 and n is a positive integer, then prove that f(f(x)) = x.

If f(x)= 2x^2+3x+5 , then prove that f'(0)+3f'(-1)=0

If f(x) is a cubic polynomial x^3 + ax^2+ bx + c such that f(x)=0 has three distinct integral roots and f(g(x)) = 0 does not have real roots, where g(x) = x^2 + 2x - 5, the minimum value of a + b + c is