Consider the polynomial function f(p) = 3pª – p³ + 5p² + 4. As p→ - 0, f(p) → As p → 0, f(p) → -00 V

Create a polynomial function of the form: f(x) = a (bx + e)(cx +g}*(dx + h)°, with the following conditions: i) a,b,c,d,e,g.h are non-zero integers. ii) the three factors must be different ii) a,b,c,d can all be set to one if you like iv) f(x) has to pass through all 4 quadrants Use your Curve Sketching Plan to fully characterize your function and draw an accurate sketch showing all significant features.

What is the formula for w(x), the node polynomial?

What are the zeros of polynomial function f(x) = x* – 10x2 + 16? O (V7, 0), (/8, 0) O (-8, 0), (-2,0), (2, 0), (8, 0) O (-V8, 0), (-V2, 0), (/2, 0), (v8, 0) O (0,0), (V2, 0), (V8, 0)