# How do you find the number of possible positive real zeros and negative zeros then determine the rational zeros given f(x)=x^3+3x^2-10x-24?

Dec 6, 2016

$- 4 , - 2 \mathmr{and} 3$

#### Explanation:

The number of changes in signs of the coefficients of f(x) and f(-x)

are 1 and 2, respectively. These fix the limits for the number of

positive and negative roots, respectively. Easily.

f(3)=f(-2)=f(-4)=0.

So, the zeros are $- 4 , - 2 \mathmr{and} 3$.