Polynomials in Mathematical Methods VCE

This topic explores polynomial functions, their algebraic properties, and graphical behavior.

Content Covered

• Polynomial definitions: Understanding terms, coefficients, and degrees

• Operations on polynomials: Addition, subtraction, multiplication, and division

• Factorization techniques: Using the remainder and factor theorems

• Graphing polynomials: Identifying turning points and end behavior

• Solving polynomial equations: Finding roots and analyzing solutions

Main Topics Assessed

• Performing algebraic operations on polynomials

• Applying factorization methods to solve equations

• Sketching polynomial graphs and identifying key features

• Using polynomial theorems to analyze functions