Consider p(x) = x4(x − 2)3(x + 1)2. for each zero, determine if the graph crosses the x-axis. how do you know?

To find zeros of this polynomial, set the poly = to zero and solve the resulting equation for x.  

Please clarify this:  does your "x4" mean x^4 (x to the 4th power), or something else?

Very important:  for clarity use the symbol " ^ " to indicate exponentiation.

My educated guess is that by "P(x) = x4(x − 2)3(x + 1)2" you actually meant 

P(x) = x^4(x − 2)^3(x + 1)^2, which is a 6th order polynomial.

Set this equal to zero and attempt to solve the resulting equation for x.  You should expect to find up to six zeros (or solutions).

Agc and bgd are vertical angles