SOLUTION: solve the equation 3z^3-300z=0 a. z=0 b. z=-4 and z=1 c. prime d. z=0, z=-10 If you could please explain I would really appreciate it

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: solve the equation 3z^3-300z=0 a. z=0 b. z=-4 and z=1 c. prime d. z=0, z=-10 If you could please explain I would really appreciate it      Log On


   

Question 631473: solve the equation 3z^3-300z=0
a. z=0
b. z=-4 and z=1
c. prime
d. z=0, z=-10
If you could please explain I would really appreciate it
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint:

Factor out the GCF 3z to get

3z%28z%5E2-100%29=0

Then use the difference of squares rule to get

3z%28z-10%29%28z%2B10%29=0

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