Answer: [tex]y=(x-2)(x+1)(x+3)[/tex]
Step-by-step explanation:
From the given graph, it can be seen that the x intercepts of the graph are
[tex]x=-3,\ x=-1,\ x=2[/tex]
It implies the value of y at the above points must be zero.
[x-intercept is of the form (a,0), where the value of y is zero.]
It implies [tex]x=-3,\ x=-1,\ x=2[/tex] are the zeroes of the polynomial graphed.
It implies [tex](x-2),\ (x+1),\ (x+3)[/tex] are the factors of the polynomial graphed.
[By Factor theorem]
Thus the polynomials should be : [tex]y=(x-2)(x+1)(x+3)[/tex] which is the correct polynomial for the given graph.
