Question

According to the fundamental theorem of algebra, how many zeros does the function f(x) = 17x15 + 41x12 + 13x3 − 10 have?

Answer 1

It should have 15 solutions.
The number of solutions depends on the term with with the highest exponent.

Answer 2

Answer: The given expression should have 15 zeroes

Step-by-step explanation:

Fundamental theorem of algebra says the polynomial that have complex coefficient and highest power that is degree must have one complex root this involves real number because every real number is an imaginary number where imaginary part is equal to zero

General representation of complex number a+ib ; a and b are real numbers.

Number of zeroes depends on the degree of polynomial

Number of zeroes is equal to the highest power which is degree

Here degree is 15 hence, number of zeroes will be 15.