# According to the fundamental theorem of algebra, how many zeros does the function f(x) = 15x17 + 41x12 + 13x3 − 10 have?

QUESTION POSTED AT 01/06/2020 - 03:13 PM

QUESTION POSTED AT 01/06/2020 - 03:13 PM

The fundamental theorem of algebra states that a polynomial of degree has exactly n roots (including complex and multiple).

The degree of a polynomial is the highest (non-negative) exponent of the polynomial, in this case is 17 from the term 15x^17.

The degree of a polynomial is the highest (non-negative) exponent of the polynomial, in this case is 17 from the term 15x^17.

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