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Mekhanik [1.2K]
2 years ago
14

How many zeros does the function f(x) = 3x12 − 17x8 + 11x4 − 6x + 23 have?

Mathematics
1 answer:
Lemur [1.5K]2 years ago
6 0
How many zeros does the function f(x) = 3x12 − 17x8 + 11x4 − 6x + 23 have? 

<span>Answer: the third option (12 zeroes..). </span>

<span>Use ^ to denote an exponent.. </span>

<span>f(x) = 3x^12 - 17x^8 + 11x^4 - 6x + 23.. </span>


<span>We know from that fact that the number of zeroes (real or complex) in a polynomial is the same as the degree of the polynomial.. </span>

<span>The degree is the greatest/highest power of the terms, which in this case is 12 (since 12 is the greatest exponent..).. </span>

<span>The degree is 12, thus it means there are 12 zeroes.. </span>


<span>Answer: the third option (12 zeroes)...</span>
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