Question

Help, I'll fan and medal
Write a linear factorization of the function.

f(x) = x4 + 36x2

Answer 1

first ind the GCF of the 3 terms (greatest common factor).

That is the greatest term which divides exactly into both terms.

Answer 2

* GCF of the 2 terms

Answer 3

I think it is f(x) = x2(x + 6i)(x - 6i)

Answer 4

yes thats correct

Answer 5

so you have studied complex numbers ?

Answer 6

Yes, a little bit. Can you help with another?

Answer 7

ok

Answer 8

Do you want me to open a new question?

Answer 9

State how many imaginary and real zeros the function has.

f(x) = x3 + 5x2 - 28x - 32

Answer 10

I said it has 0 imaginary and 3 real numbers

Answer 11

oh - you have used Descarte's Rule of Signs right?

Answer 12

Yes

Answer 13

I cant remember the details of that.

it will be either 1 real and 2 imaginary or 3 real as you said.

Answer 14

So, I am wrong with the 0 imaginary and 3 real?

Answer 15

i see that f(-1) = 0 so x = -1 is one root

Answer 16

No - you might be right

Answer 17

Alright

Answer 18

i see that the last number is -32
so see if +/-8 or +/- is a root. ( applying the rational root theorem)

Answer 19

f(4) = 4^3 + 5(4)^2 - 28(4) - 32

Answer 20

Okay

Answer 21

= 64 + 80 - 112 - 32 = ?

Answer 22

Hang on

Answer 23

0

Answer 24

\[x^3+5x^2-28x-32=(x-4) (x+1) (x+8) \]

Answer 25

looks like I got lucky...

yes 4 is a root
so ur answer is correct

Answer 26

Thanks! I have another one too

Answer 27

pleass repost any more

Answer 28

???

Answer 29

open a new question

Answer 30

yes rational root theorem is nice for some of those polys