Personal Polynomials Project
Mr. Yates – Algebra II with Trigonometry
1. Roll a die to determine how many linear factors your polynomial will
have (must be at least 2).
2. Roll a die, and flip a coin, to determine the coefficients of your linear
factors (two coefficients per factor: __x + __ ). The coefficient will be
positive if heads, negative if tails.
3. Write down your resulting polynomial, p(x), in factored form.
4. Set your polynomial equal to 0 and solve to find its zeros (use the zero
factor property).
5. Graph each linear factor, on a sheet of graph paper.
6. Use the method we learned yesterday to identify where your
polynomial is positive and negative, and sketch its graph on the same
sheet of graph paper.
7. Identify the end behavior of your polynomial function.
8. Use the distributive property to multiply your factors together, then
combine like terms (show work!!!!), then write your polynomial in
standard form.
9. What are the degree and leading coefficient of your polynomial?
10.Evaluate your polynomial when x = 0 (that is, plug 0 in for x in your
polynomial). Show your arithmetic work, step by step, starting with
the factored form. Do again, showing your work, starting with your
polynomial in standard form. Do you get the same answer?
11.Evaluate your polynomial, in both forms, when x = 3.
12.Evaluate your polynomial, in both forms, when x = -2.
13.Graph all the lines and your final polynomial in GeoGebra, to verify
your graphs. Print this out.
14.– 26. Repeat for another polynomial. This time, make sure when you
roll the die that you have a different number of linear factors.
Project will be graded out of 25, one point per step (with one possible
extra point).