Answer
To obtain the number of positive real zeroes of a polynomial function, count the number of sign changes in the given polynomial. The number of sign changes represents the positive real zeroes.
Work Step by Step
To find possibilities for positive real zeros, count the number of sign changes in the equation for f(x).
For example, consider the polynomial function as given below,
\[f\left( x \right)={{x}^{3}}+2{{x}^{2}}+5x+4\]
…… (1)
In equation (1), we see that all the coefficients are positive. This means there are no variations in the sign. Thus, there are no positive real zeroes in this polynomial function $f(x)$
