Suppose each box of a popular brand of cereal contains a pen as a prize. The pens come in four colors: blue, red, green, and yellow. Each color of pen is equally likely to appear in any box of cereal. Reflect on all the devices we've used to simulate an experiment: fair coin, dice, spinners, bags of marbles, etc).

What device would you use to simulate the probability of drawing a blue pen from a cereal box? You must explain why you would choose this device.

Find the power series expantion of f(z)=log(4=3z) at the point z=-1

G(x)=x2-16xb=-16, so =16 = 649(x) = (x2 - 16x + 64) - 649(x) = (x - 1)2-

Demonstrate the proof of your new polynomial identity through an algebraic proof and a numerical proof in an engaging way! make it so the whole world wants to purchase your polynomial identity and can't imagine living without it! you must: label and display your new polynomial identity prove that it is true through an algebraic proof, identifying each step demonstrate that your polynomial identity works on numerical relationships create your own using the columns below. see what happens when different binomials or trinomials are combined. square one factor from column a and add it to one factor from column b to develop your own identity. column a column b (x − y) (x2 + 2xy + y2) (x + y) (x2 − 2xy + y2) (y + x) (ax + b) (y − x) (cy + d)