The function, w(x)= -0.01x5+0.1x4+0.05x3-1.9x2+1.36x+3. 2represents the height w (in feet) of the water slide after x seconds. Confirm using synthetic division the factors of x=2, x=5, and x=8.

Using direct substitution, show that x=-4 and x=-1 are also factors of the polynomial.

How high off the ground is the platform to start the water slide? Explain how you know.

How long is the water slide at or below ground level? Explain your answer.

What is the highest point the water slide reaches? Explain how you know.

What is the degree, leading coefficient and end behavior of w(x).