Given the polynomial function
f(x) = x3 – 4x2 + x + 6
1) name all of the possible roots for the function using the rational root theorem.
2) prove 2 is one of the zeroes of this function (show or describe your process).
3) name the three actual roots of this function and describe how you found them.
4) write the original polynomial function in factored form and describe how you found those factors.

The function c(n) below relates the number of bushels of apples picked at a pick-your-own orchard to the final cost for the apples. it takes as input the number of bushels of apples picked after paying an entry fee to an orchard and returns as output and returns as output the cost of the apples (in dollars)c(n) = 15n + 30which equation below represents the inverse function n(c), which takes the cost of the apples as input and returns the number of bushels picked as output