Question

How many zeros may we expect of the polynomial P(x) = 3x4 - x2 + 5?

Answer 1

What is the degree of this function?

Answer 2

4 it looks like

Answer 3

Alright if the degree was 2 how many solutions do you usually get?

Answer 4

Is that when it's one less than the degree? Or is it the degree?

Answer 5

you get two solutions if you solve a second degree functions...

for example (x+1)(x+2) = x^2 +3x +3 right.. how many solutions did I get?

Answer 6

2

Answer 7

alright but, your function is not a 2 nd power or third power so what we can do is graph it from -10 to +10 and see if we get any x intercepts ok..

Answer 8

if you don't than you have no intercepts...

Answer 9

and no zeros

Answer 10

well no real solutions all of the solutions will be complex numbers...

Answer 11

I graphed it and saw it had not x intercepts. This means it has no zeros, correct?

Answer 12

well we expected it to have 4 zeros but it had none... what were ur options.?

Answer 13

It asks how many we can expect, and then the choices are A) 6 B) 2 C) 3 D) 4

Answer 14

well than you expect 4 because its a 4th power function...

Answer 15

remember when I was explaining that if its a 2nd power function you expect 2 zeros and if its a 3rd power function you expect 3 zeros and etc.

Answer 16

Thank you. That actually makes a lot of sense now.

Answer 17

good. =)) yw