Question

State the number of turning points of the graph of a fifth-degree polynomial if it has five distinct real zeros???
a.3
b.5
c.4
d.6

Answer 1

Like number of inflections?

Answer 2

lol idk your asking the wrong person...sorry

Answer 3

i would say:

2nd degree doesnt turn at all
3rd degree turns once
4th degree turns twice
5th degree turns three times

Answer 4

not 100 percent about that though to be honest

Answer 5

well it works for me!...thanks for trying:)

Answer 6

i bet one of these guys knows better than i

Answer 7

I think it's 4. The maximum number of zeros is can have it 4 I believe which means that it needs to cross the x axis 3 times which means it needs 4 peaks.

Answer 8

maximim number of zeros is 5 I should say

Answer 9

Yea i guess it depends if they mean Max/mins or inflections

Answer 10

Poorly worded question in my eyes.

Answer 11

hahaha i agree!..well thanks for your help guys im gonna go with 4

Answer 12

yea go with 4..

Answer 13

here is a better way to think of it than what I said before. Its derivative is a fourth degree polynomial which means it has 4 critical points. A critical point could, but doesn't have to be a "turning point". But since the function crosses the x axis 5 times they must all be turning points, since it requires 4 changes of direction to do this. I am not guessing anymore i'm quite confident the answer is 4.