Question

possible roots math related olds helppp

Answer 1

In accordance with the Ferrari's method, all the roots of the quartic polynomial are complex numbers.

What kind of roots does a quartic polynomial have?

By fundamental theorem of algebra quartic polynomials have four roots. Based on characteristics of the quadratic formula, use for the solution of quadratic polynomials, there are three possible sets of roots:

1. All roots are real numbers.
2. Two roots are real numbers and two roots are complex numbers.
3. All roots are complex numbers.

There are several methods to solve quartic polynomials. In this case, we decide to use the Ferrari's method to determine all roots of the polynomial:

$x_{1} = \frac{1 + i \sqrt{3}}{2}$, $x_{2} = \frac{1 - i\,\sqrt{3}}{2}$, $x_{3} = - \frac{5}{3} + i\,0.471$, $x_{4} = -\frac{5}{3} - i\,0.471$

All the roots of the quartic polynomial are complex numbers.

To learn more on quartic polynomials: https://brainly.com/question/14190940

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