Question

Roots of the following function: g(x)=x^3+16x. Determine g(x)=
a. x (x + 4) (x - 4)
b. x (x + 4 i) ( x - 4 i)
c. x ( x + 4) ( x + 4 i)
d. x (x - 4) (x - 4 i)

Answer 1

B

Answer 2

Can you please show me how you got that answer?

Answer 3

Ok. Hold on

Answer 4

Thanks!

Answer 5

x^3 + 16x = 0
Factor out the GCF, x.
x(x^2 + 16) = 0
Set them equal to zero now.
x = 0
x^2 + 16 = 0
x^2 = -16
x = ±√-16
x = ±i√16
x = ±4i
Then, just bring it to the other side again.
x(x + 4i)(x - 4i) = 0