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Algebraic Proof and Functional Analysis · Autumn Term

Polynomials: Division and Factor Theorem

Students will learn polynomial division and apply the factor and remainder theorems to solve polynomial equations.

Key Questions

  1. Explain the relationship between a polynomial's factors and its roots.
  2. Evaluate the efficiency of synthetic division versus long division for polynomials.
  3. Predict the remainder of a polynomial division without performing the full calculation.

National Curriculum Attainment Targets

A-Level: Mathematics - Algebra and Functions
Year: Year 12
Subject: Mathematics
Unit: Algebraic Proof and Functional Analysis
Period: Autumn Term

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