What are the roots of this polynomial with a beta coefficient?

In summary, the roots of a polynomial are the values that make the polynomial equal to zero, and can be found using methods such as factoring, graphing, or using the quadratic formula. The number of roots of a polynomial tells us the number of solutions to the polynomial equation, which can help us understand its behavior and shape. A polynomial can have multiple roots, with the number of roots determined by its degree. The roots of a polynomial are related to its factors, with the values that make the polynomial equal to zero corresponding to its factors.
  • #1
Dustinsfl
2,281
5
$\beta m^5 + m^2 + 1 =0$

How do I find the roots?
 
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  • #2
Could you factor? The beta is throwing me a tad, and I imagine that is some of the difficulty of this problem.
 
  • #3
alane1994 said:
Could you factor? The beta is throwing me a tad, and I imagine that is some of the difficulty of this problem.

It isn't going to factor but I don't need to solve it anymore.
 

FAQ: What are the roots of this polynomial with a beta coefficient?

What are the roots of a polynomial?

The roots of a polynomial are the values of the variable that make the polynomial equal to zero.

How do you find the roots of a polynomial?

To find the roots of a polynomial, you can use a variety of methods such as factoring, graphing, or using the quadratic formula.

What does the number of roots of a polynomial tell us?

The number of roots of a polynomial tells us the number of solutions to the polynomial equation. This can help us understand the behavior and shape of the polynomial graph.

Can a polynomial have more than one root?

Yes, a polynomial can have multiple roots. The number of roots is determined by the degree of the polynomial, where a polynomial of degree n can have at most n roots.

How do the roots of a polynomial relate to its factors?

The roots of a polynomial are the values that make the polynomial equal to zero, and these values correspond to the factors of the polynomial. This means that if we know the roots of a polynomial, we can find its factors and vice versa.

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