SOLUTION: can you please help me solve this polynomial equation (x^3+8) by factoring and using the principle of zero products? i've been having a lot of problems with this one and its confus

Question 497313: can you please help me solve this polynomial equation (x^3+8) by factoring and using the principle of zero products? i've been having a lot of problems with this one and its confusing me. thank you in advance
Found 2 solutions by stanbon, Earlsdon:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
can you please help me solve this polynomial equation (x^3+8) by factoring and using the principle of zero products?
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Solve: x^3+8 = 0
Factor:
(x+2)(x^2-2x+4) = 0
----
x = -2 and
Solve x^2-2x+4 = 0
x = [2 +- sqrt(4-4*4)]/2
---
x = [2 +- sqrt(-12)]/2
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x = [2 +- 2sqrt(3)i]/2
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x = 1+sqrt(3)i or x = 1-sqrt(3)i
===================================
Cheers,
Stan H.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve by factoring:
Can't really solve this "expression" until you set it equal to something, thus making it an "equation", but we can factor it.
so we have the sum of cubes and there is a factored form for this:
so...
...and that's the best we can do!
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