# Answer to Question #23814 in Abstract Algebra for marley

Question #23814

a^4+2a^3+a^2=0

Expert's answer

a^4+2a^3+a^2=0

Let's factor out a^2:

a^2(a^2+2a+1)=0

a^2(a+1)^2=0

So the solutions are a=0, a=-1

Let's factor out a^2:

a^2(a^2+2a+1)=0

a^2(a+1)^2=0

So the solutions are a=0, a=-1

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