what is the maximum number of roots of a polynomial?

Question

the max number of cubic polynomial. and the answer is a number.

Answer 1

if it is a cubic polynomial 3
number of roots = highest power of equation

Answer 2

A polynomial of degree 3 has three roots in the complex field. This is simply an instance of the Fundamental Theorem of Algebra. If the cubic has real coefficients, then the number of real roots must be either 1 or 3, because under this hypothesis complex roots must occur in conjugate pairs (because complex conjugation is an R-linear automorphism of the complex field). I hope this has been helpful. Adieu!

Answer 3

A polynomial of third degree has both one or 3 genuine roots, so the answer is c. As another answerer suggested, an imaginary root must have a conjugate, so there can not be 2 genuine roots and one imaginary one.

Answer 4

The answer depends on the context for the question.

If you are talking about roots that are real numbers, then a polynomial of degree n can have at most n roots.

If you allow for complex roots, and if you count roots corresponding to repeated factors as "repeated roots", then every polynomial of degree n has exactly n roots.

So if n=3, there's your answer.

Answer 5

The maximum number of roots of a polynomial is equal to the degree of the polynomial. For example, a fifth-degree polynomial has five roots.

Answer 6

count the number of the change of sign in each term of the polynomial

if the polynomial all have + sign . .. there is no root
Ziah X equation has 1 root because there is a change from + to - in the last two terms

Answer 7

The max number of roots is equal to the degree of the highest variable. If you want to know how many are real or imaginary, I would try using Descartes' Rule of Signs.

Answer 8

The Maximum equals the minimum.