Finding complex roots of polynomials and applications of the Fundamental Theorem of Algebra
This lesson shows you how to find any solution, including imaginary ones, to a polynomial.
Demonstrates how to find imaginary solutions of a function.
Reviews problems involving the Fundamental Theorem of Algebra, Complex Conjugates Theorem, Irrational Conjugates Theorem, and Descartes Rule of Signs.
Find a polynomial function with real coefficients that has the given zeros
Use the given zero to find all zeros of the function
Find all zeros of the function and write the polynomial as a product of linear factors
Use Descartes's Rule of Signs to determine the possible numbers of positive and negative zeros of the function
Identifying the Number of Zeros Given a Polynomial Equation
Finding All Zeroes (Real or Complex) Given a Polynomial Equation
Writing Polynomial Functions Given Rational Coefficients, Leading Coefficients and Given Zeros
Practice Fundamental Theorem of Algebra questions
To have students generate connections between specific points in the concept’s reading and their own personal experiences using a Double Entry Diary.