SOLUTION: What are the zeros and the multiplicity of the following function? F(x)=x^4-x^3-2x^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What are the zeros and the multiplicity of the following function? F(x)=x^4-x^3-2x^2       Log On


   

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) About Me  (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.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E4-x%5E3-2x%5E2%29