The polynomial function $\mathrm{f}$ has exactly one positive zero. Approximate the zero correct to two decimal places. \[ f(x)=x^{3}+x^{2}+2 x-5 \]

Step 1 ：We are given the polynomial function \(f(x)=x^{3}+x^{2}+2x-5\) and asked to find its positive root.

Step 2 ：We can use the bisection method to find the root. This method works by repeatedly dividing the interval in half and then selecting the subinterval where the function changes sign. This process is repeated until the desired precision is reached.

Step 3 ：First, we need to choose an initial interval for the bisection method. Since the function is continuous and we are looking for a positive root, we can choose an interval that includes positive values, such as \([0, 5]\).

Step 4 ：Next, we calculate the midpoint of the interval and evaluate the function at this point. If the function changes sign in the interval, then the root must be in this interval.

Step 5 ：We repeat this process, each time choosing the subinterval where the function changes sign, until we reach the desired precision.

Step 6 ：Finally, the positive root of the function is the midpoint of the final interval. This value is the solution to the problem.