- Use the Remainder Theorem to evaluate polynomials and apply the Factor Theorem to find roots.
- Apply the Rational Zero Theorem and Descartes’ Rule of Signs to identify possible rational zeros and estimate the number of positive and negative real zeros.
- Find zeros of polynomial functions and use the Linear Factorization Theorem to construct polynomials.
- Solve real-life problems using polynomial equations.
A renowned architectural firm is designing a series of curved glass panels for a modern building facade.
The panels need to follow specific polynomial functions to create both aesthetically pleasing curves and meet structural engineering requirements. The firm’s engineers must analyze these polynomial functions to ensure proper design and installation.