Answer:
(x+1)²(x-2)²
Step-by-step explanation:
The shape of the graph means it is an even graph with degree of 4 or more. The factors come from the x-intercepts. Here they are (-1,0) and (2,0). So the factors are (x+1) and (x-2). Since both touch the x-axis but not cross, they have exponents of 2.
So the function is (x+1)²(x-2)².
