Question

What is the multiple zero and multiplicity of f(x) = x3+2x2+2

Answer 1

I assume you mean...

"What are the roots of the polynomial and their multiplicity..."

x3+2x2+x = x(x2+2x+1) = x(x+1)(x+1) or x(x+1)2

The roots are x = 0, multiplicity 1

x = -1, multiplicity 2