1.

The Intermediate Value Theorem: A solution of the polynomial ????????(????????)=????????56????????412????????3+32????????2+27????????42 lies between x = 1.7 and x = 1.8. Use the Intermediate Value Theorem to isolate the x value of this solution to within 0.01.

(narrow answer down to 3 decimal places)

2.

write polynomial in factored form:

f(x)=x⁴-3x³-9x²-27x-162

3.

Suppose that a factorys cost (in dollars) for making x cars is

C(x) = 7020x + 8460

Then the average cost per car is

????(????) = 7020???? + 8460/ ???? How many cars must the factory make each day to ensure the average cost per car is no more than $7200?