Question

f(x) = x4 + 64x2

f(x) = x2(8x + i)(8x - i)

f(x) = x2(x + 8i)2

f(x) = x2(x + 8i)(x - 8i)

f(x) = x2(8x + i)2

Answer 1

f(x) = x2(x + 8i)(x - 8i)

Answer 2

thats what I got

Answer 3

f(x) = x4 + 64x2
= x^2(x^2 + 64)
= x^2(x^2 - (-64) )
= x^2(x + sqrt(-64) )(x - sqrt(-64) )
= x^2(x + 8i)(x - 8i)

Answer 4

I believe you are on the right track. Congrats.

Answer 5

Thank you guys so much!

Answer 6

This is more elegant:
f(x) = x4 + 64x2
= x^2(x^2 + 64)
= x^2(x^2 - (-64) )
= x^2(x^2 - (8i)^2) Now you see it's a difference of two squares.
= x^2(x + 8i)(x - 8i)

Answer 7

yep just got a 100 on my math quiz, thanks guys

Answer 8

wlcm