Decide which of the polynomial functions in the list might h

Decide which of the polynomial functions in the list might have the graph below. (More than one answer may be possible.) (a)y= -4x(x-1)(x-2) (b) y = x^2 (x - 1)^2(x - 2) (c) y = 3x(x - 1) (x - 2) (d) y = x(x - 1)^2(x - 2)^2 (e) y = 3x(1 - x) (2 - x) (f)y=-x(1-x)(x-2)

Solution

Polynomial has 3 zeros each of multiplcity 1 as at al the points graph

cuts the x axis inetead of touching.

Further , f(x) is +ve for x < 0

So, only possible option a)