Question

Which polynomial could be represented by this graph?

Answer 1

`x(x+2)(x-1)(x-3)^2`

Please let me know the choices to better help you.

Explanation:

I see zeros at x=-2 , x=0 , x=1 , x=3.

Any time it makes like a little U or upside down U at a zero you are going to have a even power on your factor (for which the zero occurs). If it goes through the zero increasing or decreasing (not making a kind of U shaped upside down or upside right), it is an odd power.

So at x=-2, (x+2) is going to have an odd power

So at x=0, (x-0) or (x+0) or even just x is going to have a odd power

So at x=1, (x-1) is going to have an odd power

So at x=3, (x-3) is going to have an even power

So the polynomial could be represented by

`x(x+2)(x-1)(x-3)^2`