Maths AA-HL 2.12.5 Fundamental theorem of algebra

The Fundamental theorem of algebra – Maths IB AA – HL

Description: 

This Maths PowerPoint presentation explores the Fundamental Theorem of Algebra, a cornerstone of polynomial theory in the IB Analysis and Approaches Higher Level syllabus. With 10 well-structured slides, it introduces students to the concept that every non-zero polynomial equation has exactly as many complex roots as its degree, including repeated roots.

The presentation builds understanding through clear definitions, visual representations, and worked examples involving real and complex solutions. Students apply the theorem to factor polynomials completely, use Horner’s algorithm, and examine the implications of complex conjugate pairs.

A detailed inquiry-based lesson plan fosters critical thinking, encouraging students to connect algebraic structure with polynomial behavior. The resource also includes a worksheet featuring exam-style questions and complete solutions, ideal for both guided practice and independent learning.

Perfect for classroom instruction or revision, this Maths resource deepens student understanding of polynomial roots and complex numbers in a clear, engaging format.

Content:

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

File size:

• PPTX (259 KB)
• PDF (268 KB)
• PDF (340 KB)

Number of slides:

10 slides

Preview: