Question

f(x)= (x-1)^3 (x+2)^2

State the degree and list the zeroes of the polynomial function. State the multiplicity of each zero and whether the graph crosses the x axis at the corresponding x intercept. Then sketch the graph of the polynomial function by hand.

Answer 1

5 zeros, 2 each -2 and 3 each +1
A plot from Mathematica 8 Home Edition is attached.