Question 65
Consider the polynomial $f(x) = 4x^{4} + 6x^{3} + 2x^{2} + 2003x - 2003^{2}$. Prove that:
a) the local extrema of $f'(x)$ are positive;
b) the equation $f(x) = 0$ has exactly two real roots and find them.
a) the local extrema of $f'(x)$ are positive;
b) the equation $f(x) = 0$ has exactly two real roots and find them.