Factor the following polynomials completely. If the polynomial is prime, so state.

a) 8x^3+z^6

b) 2x^4-32y^4

c) 4x^2+16

My answers:

a) (2x+z)(4x-2z+z^2) Prime

b) 2(x^4-16y^4)

c) 4(x^2+4)

Can anyone check these for me please?!

Question

Factor the following polynomials completely. If the polynomial is prime, so state.

a) 8x^3+z^6

b) 2x^4-32y^4

c) 4x^2+16

My answers:

a) (2x+z)(4x-2z+z^2) Prime

b) 2(x^4-16y^4)

c) 4(x^2+4)

Can anyone check these for me please?!

radar · Answer

a) Is the sum of two cubes and is factorable as you have shown, if this is the case why would you say it is prime?$$(2x+z ^{2})(4x ^{2}-2xz ^{2}+z ^{4})$$ I believe this is the correct factors.

anonymous · Answer

I didn't mean to write prime on it, I thought i had deleted that. I know there is something else to be down though because it only received 1 out of 4 points.

radar · Answer

Yes, we don't agree on the factors, note the difference?

anonymous · Answer

I do now. :)

radar · Answer

I can't find anything wrong with the rest.  Good luck with those.

anonymous · Answer

Thank you.

radar · Answer

Excuse the delay, pizza was delivered. lol