Question

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

Answer 1

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