Given the polynomial:
[tex]0.13x^{4}+0.22x^{3}-0.88x^{2}-0.25x-0.09[/tex]
The roots of the polynomial can be said to be the x-intercept on the graph.
To find the root, equate the polynomial to zero, we have:
[tex]0.13x^{4}+0.22x^{3}-0.88x^{2}-0.25x-0.09=0[/tex]
Let's graph each side of the equation.
We have the graph atteched below:
The x-intercept is the point where the line touches the x-axis, and this points of intersection are the roots of the polynomial.
Thus, from the graph, the roots of this polynomial are:
x = -3.49, and 2.08
The approximate roots are:
x = -3.5 and 2.1
ANSWER:
-3.5 and 2.1
