SOLUTION: How would i find the zero's of this problem. So pretty much how do i solve this problem? (Without Graphing) I really have no idea where to even start. (Up arrow represents

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: How would i find the zero's of this problem. So pretty much how do i solve this problem? (Without Graphing) I really have no idea where to even start. (Up arrow represents       Log On


   

Question 119845This question is from textbook Algebra 2
: How would i find the zero's of this problem. So pretty much how do i solve this problem? (Without Graphing)
I really have no idea where to even start.

(Up arrow represents exponent)
a^5+6a^4+5a^3=0
This question is from textbook Algebra 2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E5%2B6a%5E4%2B5a%5E3=0 Start with the given equation


a%5E3%28a%5E2%2B6a%2B5%29=0 Factor out the GCF a%5E3


a%5E3%28a%2B5%29%28a%2B1%29=0




Now set each factor equal to zero:

a%5E3=0, a%2B5=0 or a%2B1=0

Now solve for a for each factor:

a=0, a=-5 or a=-1

So the solutions are:


a=0, a=-5 or a=-1