Construct a polynomial function that might have the graph. Yes, you guessed
it, there could be more than one answer! Only give me one of the possibilities.
Leave your answer in factored form.

Construct a polynomial function that might have the graph Yes you guessed it there could be more than one answer Only give me one of the possibilities Leave you class=

Respuesta :

There is a 'strike-through' root at -1 and a double root at 2, so the equation is of the form

[tex]y=a(x+1)^3 (x-2)^2[/tex]

Since the y-intercept is 4,

[tex]4=a(0+1)^3(0-2)^2 \implies 4a=4 \implies a=1 \\ \\ \therefore \boxed{y=(x+1)^3 (x-2)^2}[/tex]