SOLUTION: z^3-64/z-4

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: z^3-64/z-4       Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 31595: z^3-64/z-4

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
if you do long division of z-4 into z%5E3-64 you get the other factor of z%5E2%2B4z%2B16. So,

+%28z%5E3-64%29%2F%28z-4%29+ --> z%5E2%2B4z%2B16

This is just like saying what is 32/8? You do the division and find that it is precisely 4. So the answer is 4. It is exactly the same with algebraic expressions.

jon.