We have to find the behaviour of the polynomial at each of its zeros.
To find that we need to factorize the polynomial.
There is no direct way to factorize a sixth degree polynomial. We will use a graph of the function:
We can then see that the zero at x = -3 behaves as a cubic polynomial, the zero at x = -1 behaves linearly and x = 2 behaves as a quadratic polynomial.
Each zero will probably have the corresponding multiplicity (the cubic polynomial behaviour correspond to a zero with multiplicity of 3).
Answer: one resembles a cubic function, one resembles a linear function and one resembles a quadratic function.
