How many solutions over the complex number system does this polynomial have?. . 2x^4-3x^3-24x^2+13x+12=0

According to the Fundamental Theorem of Algebra on the Roots of Polynomials, the number of roots is equal to the degree of the polynomial. In this case, the polynomial is a fourth degree polynomial. Therefore, there are 4 solutions to the polynomial which over the complex number system.

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shivishivangi1679 shivishivangi1679 · Answer 2 · 2022-06-06T13:31:01+02:00

There are 4 solutions to the polynomial over the complex number system.

What is a polynomial?

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

Example:

x^2 + 3x + 5 is a polynomial.

We have been given a polynomial function,

[tex]2x^4-3x^3-24x^2+13x+12=0[/tex]

In polynomials, the number of roots or highest power is equal to the degree of the polynomial.

We can see that the polynomial is a fourth-degree polynomial.

Therefore, there are 4 solutions to the polynomial over the complex number system.

Learn more about polynomials here:

https://brainly.com/question/27343162

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