**Title:** Who am I? Find A Polynomial From Its Roots

**Description:**
Students analyze the roots and end behavior of a polynomials and write the equation of a polynomial under given conditions. Students apply theorems concerning the multiplicity of roots, conjugates of irrational or complex imaginary roots to find a polynomial under given conditions. Students will factor polynomials to find the complex roots. Students graph polynomials and determine the local extrema. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.

**Standard(s): **

[MA2013] AM1 (9-12) 11: (+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials. Understand the importance of using complex numbers in graphing functions on the Cartesian or complex plane. [N-CN9] (Alabama)