Can someone show me how to do this? I got 5 more problems of the same kind. Thannk!

Consider the polynomial P(x), shown in both standard form and factored form.

P(x) = 1/2x^4 - 9/2x^3+21/2x^2+1/2x-15

= 1/2 (x+1)(x-2)(x-3)(x-5)

State the behavior at the ends: (up/down) at the left, and (up/down) at the right?

State the y-intercept

State the x-intercept

Create a graph depicting the polynomial above.