Question

What theorems can be utilized in solving polynomials and their depressed equations? How can polynomial functions be written when given the zeros?

Answer 1

Fundamental theorem of algebra, rational root theorem, Descartes rule of signs, remainder theorem, and the factor theorem can be utilized in solving polynomials and their depressed equations.

Polynomial functions can be written when given the zeros by determining the factors of the function, and multiplying the factors.