Real roots and coefficients for a fourth degree polynomial

Calculus Level 4

Let \(P(x)=\frac{1}{4}x^{4}+\frac{1}{3}x^{3}+ax+b\) be a polynomial that has a negative value at a certain point. A pair of number \((a, b)\) satisfies that the polynomial \(P(x)\) has only two different real roots and no complex roots, and the product \(ab\) has the maximum possible value. Find \(\frac{a}{b}.\)

×

Problem Loading...

Note Loading...

Set Loading...