Solve the polynomial equation by factoring and then using the zero product principle:

3x^4=1536x

Question

Solve the polynomial equation by factoring and then using the zero product principle:

3x^4=1536x

anonymous · Answer

Subtract 1536x from both the sides,

Tell me what you get??

anonymous · Answer

3x^4-1536x=0

anonymous · Answer

Yes..
take x common and tell what you got??

anonymous · Answer

factor and then i got 3x(x^3-512) which turned into x^3=512 turned into x=8 what i dont understand is how the second answer is -4+4i radical3, -4-4iradical3

anonymous · Answer

You have not use the formula...

anonymous · Answer

which fomula is that?

anonymous · Answer

See,

$$(x^3 - a^3) = (x-a)(x^2 + a^2 + xa)$$

After 3x(x^3 - 8^3) use this formula here and tell me what you got??

anonymous · Answer

look, this is the last question i need to turn in my online hw. if i give you a similar one can you give me the answer so i can go to sleep?

anonymous · Answer

ill learn it tomorrow but it needs to be done tonight

anonymous · Answer

brain is fried

anonymous · Answer

But you should do them on your own I am here to help how to solve and not to solve on my own...