Question

For 8 – 4x^3 + 4x^6 = 0, state the number of complex roots, the possible number of real roots, and the possible rational roots.

Answer 1

@Hero

Answer 2

@JackofallTradez

Answer 3

i know there are 6 complex and 2,4,6 real roots

Answer 4

just dont know the possible rational roots

Answer 5

so you need to find possible rational roots??

Answer 6

yes

Answer 7

?

Answer 8

Number of complex roots \(\to\) fundamental theorem of algebra

Number of possible real roots \(\to\) Descartes' rule of signs

Possible rational roots \(\to\) rational root theorem