Question

A polynomial equation includes the term 8x5
. According to the Fundamental Theorem of Algebra, which statement must be true?(1 point)
Responses

The equation has at least 5 roots.
The equation has at least 5 roots.

The equation has more than 5 roots.
The equation has more than 5 roots.

All the roots of the equation are real.
All the roots of the equation are real.

The equation has an odd number of real roots.

Answer 1

The equation has at least 5 roots.

Reason: 8x^5 makes the polynomial degree 5. By the Fundamental Theorem of Algebra it has exactly 5 complex roots (counting multiplicity), so it must have at least 5 roots overall.