Question

4. Given the following polynomial: f(x)=-2 x(x-1)^{3}(x+2)(x-3)^{2} a) What is the degree of the polynomial and what is the end behavior model for thepolynomial? [3 points]. b) What are the zeros (roots) of the polynomial, what are their multiplicity, and dothey bounce, wiggle or cross? [4 points]. c) What is the maximum number of turning point of f(x)? d) What is the y-intercept of the polynomial? e) Draw a rough sketch of the polynomial below (you may change the scale on thecoordinate grid if needed). [4 points].

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6

Fig: 7

Fig: 8