Question

How many zeros does the function f(x) = 7x^13 − 12x^9 + 16x^5 − 23x + 42 have? Helpp

Answer 1

do you mean real root ?
or (real +complex) ?

Answer 2

if you take f'
and find f'(x)=0 roots
you will see f'=0 has two roots (real)
and then
find max, min over there
you will see \[y_\min \approx270 \\y_\max \approx 560\]

but degree of function is 13
at least f(x)=0 has 1 real root
and it will be like I draw

Answer 3

implicit :
if you mean how many roots (real +complex) ?
answer is 13
but 1 real , 12 complex

Answer 4

If it is asking how many zeros there are, just look at the highest power. The highest power is 13, so there will be 13 zeros.