What commands would I use to solve this problem? I’m new to Mathematica

Starting from left to right give the intervals of a constant sign and the sign of the following polynomial on those intervals. Finally, I have to illustrate your results in two plots.

p(x_) = -(16/81) + (2438 x)/405 – (218719 x^2)/8100 + (1111463 x^3)/
21600 – (79331 x^4)/1600 + (4779 x^5)/200 – (459 x^6)/100 -(16/81) + (2438 x)/405 – (218719 x^2)/8100 + (1111463 x^3)/21600 – (79331 x^4)/1600 + (4779 x^5)/200 – (459 x^6)/100