Chapter 8.8, Problem 3WE

To determine

To draw a graph and approximate the nearest half unit of the real roots of the equation $P\left(x\right)=0$ .

Explanation of Solution

Given information:

The equation is:

  $P\left(x\right)=x^3+x^2+1$

Graph:

Sketch the graph using graphing utility.

Step 1: Press WINDOW button to access the Window editor.

Step 2: Press $\boxed{\text{Y=}}$ button.

Step 3: Enter the expression $x^3+x^2+1$ which is required to graph.

Step 4: Press GRAPH button to graph the function.

The graph is obtained as:

  

Interpretation:

To the nearest half units the root is $-1.5$ .