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

1 answer:

3 0

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

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

Use ^ to denote an exponent..

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

We know from that 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 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 zero's..

Answer: the third option (12 zero's )...

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Step-by-step explanation:

For this exercise you can convert the mixed number to an improper fraction:

1. Multiply the whole number part by the denominator of the fraction.

2. Add the product obtained and the numerator of the fraction (This will be the new numerator).

3. The denominator does not change.

Then:

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You know that he had 30 minutes in time-out, he counted spots on the ceiling for $\frac{70}{3}$ minutes and the rest of the time he made faces at his stuffed tiger.