Help me. The graph of a polynomial with unknown a is given. Write a polynomial function of lowest possible degree for the graph. Leave your answer in
factored form

.

Step-by-step explanation:

If a graph touches the x-axis at x=c, then (x-c) is a factor of function.

From the given graph it is clear that the graph of function intersect x-axis at x=1 and touch the x-axis at x=-2.

It means (x-1) and (x+2) are not factors of given function but power of (x+2) must be 2.

So, the required function is

   ...(1)

where, a is a constant.

From the given figure it is clear that the graph passes through the point (-4,-7). So, substitute x=-4 and f(x)=-7 in the above function.

Substitute in (1).

Therefore, the required function is .

c > -10.55

step-by-step explanation: