SOLUTION: What are the zeros and the multiplicity of the following function?
F(x)=x^4-x^3-2x^2
Algebra.Com
Question 1053459: What are the zeros and the multiplicity of the following function?
F(x)=x^4-x^3-2x^2
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
F(x)=x^4-x^3-2x^2
factor out an x^2(x^2-x-2)
then factor x^2-x-2 into (x-2)(x+1)
x^2(x-2)(x+1). x^2 has multiplicity 2, and the graph shows a "bounce" at the origin.
zeros are at -1,0(multiplicity 2), and 2.
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