SOLUTION: how do u factor x^3+64 and what are the roots of the polynomials?

Question 245743: how do u factor x^3+64 and what are the roots of the polynomials?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given expression.

Rewrite as . Rewrite as .

Now factor by using the sum of cubes formula. Remember the sum of cubes formula is

Multiply

-----------------------------------
Answer:

So factors to .

In other words,

So to find the roots of , just find the roots of . In other words, solve the equation:

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