218k views
4 votes
Determine the number of roots of each polynomial equation.
x⁶+8x⁴-4x+10=0

1 Answer

3 votes

Final answer:

The polynomial equation x⁶+8x⁴-4x+10=0 has a total of 6 roots.

Step-by-step explanation:

The given equation is a polynomial equation of degree 6. To determine the number of roots, we need to consider the Fundamental Theorem of Algebra. According to the theorem, any polynomial equation of degree 'n' has exactly 'n' roots, including both real and complex roots.

Therefore, the polynomial equation x⁶+8x⁴-4x+10=0 has a total of 6 roots, which may be real or complex.

User Lithy
by
7.5k points

Related questions

1 answer
2 votes
133k views
1 answer
5 votes
37.0k views
1 answer
1 vote
116k views
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.