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.

Sum is 17 and their difference is 3

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)

Hurry if the population of of an ant hill doubles every 10 days and there are currently 100 ants living in the ant hill what will the ant population be in 20 days