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 )...
You can do this by finding a number close to it, and then finding out how to do it.
For example with 63(square root sign), find out what is close to it.
7x7=49 while 8x8=64
Because of this, we now know that it is between 7 and 8 but is also really close to 8.
Our number could be 7.9
Hope this helped!!!
Y= 32 if x= 8, 2 times 16 is 32