Maths AA-HL 2.12.6 Conjugate root theorem

The Conjugate root theorem – Maths IB AA – HL

Description: 

This Maths PowerPoint presentation introduces and applies the Conjugate Root Theorem, a key concept in polynomial algebra for the IB Analysis and Approaches Higher Level syllabus. Through 9 concise and effective slides, students explore how the existence of complex roots in polynomials with real coefficients implies the presence of their conjugates as roots.

The presentation features clear explanations, algebraic proofs, and step-by-step examples using both Horner’s algorithm and polynomial factorization techniques. It develops students’ ability to recognize patterns in complex solutions and fully factorize polynomials based on known roots.

A detailed inquiry-based lesson plan is included to encourage exploration and active discussion, along with a worksheet of exam-style questions and complete answers, perfect for in-class practice or independent study.

This Maths resource builds strong foundational understanding and algebraic fluency, making it ideal for teaching, revision, or enrichment in the topic of complex roots and polynomial factorization.

Content:

• PowerPoint presentation
• Detailed Lesson Plan (pdf)
• Worksheet with Exam style questions and Solutions (pdf)

File size:

• PPTX (369 KB)
• PDF (281 KB)
• PDF (375 KB)

Number of slides:

9 slides

Preview: