Question

PLEASE HELP ASAP:(
What are the possible number of positive real, negative real, and complex zeros of
f(x) = -7x4 - 12x3 + 9x2 - 17x + 3?

Answer 1

is this a problem using rational root theorem by any chance?

Answer 2

To be honest I don't know @Rose6

Answer 3

well it seems like it could be a possible question under that category… but i would say the answer is 4 because with questions involving the rational root theorem that ask for the number of zeros all you have to do is look at the leading coefficient in this case… it is \[-7x^4\]

then you look at the power it is raised to which is 4 that means there will be 4 zeros total. does that make sense?

Answer 4

:( that's not one of the answers @Rose6
the following are the possible answers

Positive Real: 3 or 1
Negative Real: 1
Complex: 2 or 0


Positive Real: 3 or 1
Negative Real: 2 or 0
Complex: 1


Positive Real: 1
Negative Real: 3 or 1
Complex: 2 or 0


Positive Real: 4, 2 or 0
Negative Real: 1
Complex: 0 or 1 or 3

Answer 5

ok one sec.

Answer 6

have you tried plugging each possible answer back into the equation?

Answer 7

No , I haven't I don't no how to figure out the answer on my own @Rose6

Answer 8

ok let me try to plug them in and if it works I'll show you step by step how to do it is that ok?

Answer 9

yes please if you don't mind @Rose6

Answer 10

no problem :D

Answer 11

could I graph it ? @Rose6

Answer 12

I think that's the best way because every possible way i've done it it won't work… by suggestion is to graph it on a calculator and then click 2nd graph for the table and look for the answers you have. they should have zeros with it so like (3,0) because your answers are the x's and you are looking for the ones that have the y as 0.

Answer 13

does that make sense?

Answer 14

yes :) thank you!

Answer 15

I'm sorry I couldn't help you T.T

Answer 16

thank you for trying though :D @Rose6

Answer 17

no problem… hope it works out for you