Consider P (x) = x4 (x - 2) 3 (x + 1) 2. What are the zeros of the function? What is the multiplicity of each zero?

Ifthe roots are r1 and r2

then the factored form is

a (x-r1) (x-r2)

so

and multpilcty is how many times the root repeats

P (x) = (x-0) ^4 (x-2) ^3 (x - (-1)) ^2

so the roots are 0 multipilcty 4, 2 mupliticty 3, - 1 multplity 2