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

Solution:

It is given that, f(x) = 3x¹² - 17x⁸ + 11x⁴ - 6x + 23

As we know from the fact that the number of zeros (real or complex) in a polynomial is the same as the degree of the polynomial.

The degree is the largest power of the terms, which in this case is 12

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

Therefore, there are 12 zeros in the given function.

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

Summary:

The function f(x) = 3x¹² - 17x⁸ + 11x⁴ - 6x + 23 has 12 zeros.