Identify the roots of - 3x^3-21x^2+72x+540=0. State the multiplicity of each root.

Y = - 3 (x^3 + 7x^2 - 24x - 180) Taking that three out makes your life a whole bunch easier.

y = - 3 * (x - 5) * (x+6) ^2

(x - 1) has a multiplicity of 1 and (x + 6) has a multiplicity of 2 <<< = = = answer

The graph can be found at wolframalpha

google it.