Question

Write a linear factorization of the function.

f(x) = x^4 + 36x^2

Answer 1

factor out x^2, what u get ?

Answer 2

x^2 + 36 ?

Answer 3

yes, x^2(x^2+36)
now u know how u can factor x^2+36 ?

Answer 4

(x + 6) (x + 6) ?

Answer 5

nopes, if it would be x^2-36 , then its (x + 6) (x + 6)
are u aware of complex numbers
or i ?

Answer 6

but postive times positve is postive. I understand though. I am but i'm a bit confused.

Answer 7

i know theres an i in the answer, i just forgot how to get there

Answer 8

ok, x^2 + a^2 = (x+ai)(x-ai)

Answer 9

now?
write 36 as ?

Answer 10

so x+6i (x-6i) ?

Answer 11

careful with brackets ( x+6i) (x-6i)

Answer 12

so the answer is f(x) = x^2(x + 6i)(x - 6i)

Answer 13

that is correct

Answer 14

thank you! I have three more for today! Youre awesome!

Answer 15

welcome ^_^