Polynomials Bundle – 7 Worksheets
This bundle has 7 self-checking puzzle worksheets. Once the worksheets are completed, the answer to a riddle or a saying is revealed. The following are the descriptions of the worksheets included in this bundle.
1. End Behavior and Zeros of Polynomial Functions
This worksheet gives the students an equation. The students are to choose the end behavior picture, tell whether the function is even or odd and find the maximum number of zeros. The solutions are given solutions in a 3x3 grid. The puzzle is solved by matching the pattern in the grid to the patterns on the next page.
2. Performing Operations on Polynomial Functions - Addition, Subtraction, Multiplication and Division
This worksheet gives the students functions f and g as well as a set of directions which tells the students to add, subtract, multiply or divide. The students will find the solution on the next page. (No domain is declared in the division problems.)
3. Descartes Rule of Signs for Polynomials
This worksheet gives the students an equation. The students are then asked to find either the number of possible positive or negative zeros by using Descartes’ Rule of Signs. A line is drawn to the solution. That line passes through a letter which is matched at the bottom of the worksheet to reveal the answer to a famous quote of Descartes’.
4. Dividing Polynomials Including Negative Exponents
The problem and solutions are given on this worksheet, except part of the solution is covered up. The students are to find the missing part of the solution and match the letter at the bottom to reveal the solution to a Mad Gab type quote. If the solution contains a negative exponent, the solution will be printed as 2/x, not
5. Factor and Remainder Theorems for Polynomials
The students are given a polynomial function. Possible, complete solutions are given based on matching the degree and zeros from the graph of the polynomial. (Therefore, each student will need to use a graphing calculator with this worksheet … which is not included.) The students are to pick the possible solutions written in factored form. The students are NOT looking for the exact solution, just possible solutions.
6. Factoring Cubic Polynomials Using Zeros
A cubic polynomial is given along with 6 factors. From the graph, the students are to select the three correct factors. (Therefore, each student will need to use a graphing calculator with this worksheet … which is still not included.) The student will match the pattern of the solution to a pattern on the decoder key to solve the riddle.
7. Writing Polynomial Equations in Vertex Form
The students are to calculate and write a quadratic equation given the vertex and a point on the graph in the form y=a(x-h)^2+k. However, there are twice as many solutions as there are problems, so the student will need to select the correct answer based on the ‘a’ term as well and the (h,k) value.