55 POINTS FOR BEST ANSWER 1: Braxton just got new pet bunnies and created a quadrilateral shaped pen for them that had an enclosed space of 16x^2+24x+9 ft.2. What is the perimeter of the pen and what shape is it?

What patterns do you notice in the polynomial column above?

What patterns do you notice in the factored column above?

Create a rule for factoring the type of polynomial you see in the table above.

Let’s take another look at question #1. Could you use the rule in part D to help you solve this question? Explain.

Create your own story problem that would require the rule you developed in part D. You can be as creative as you want with this!

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?