Question

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

Answer 1

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

Answer: the third option (12 zeroes..). 

Use ^ to denote an exponent.. 

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


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.. 

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

The degree is 12, thus it means there are 12 zeroes.. 


Answer: the third option (12 zeroes)...