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IB Maths AA HL Ahl 2 12 Hl Polynomial Functions Questions

Practise using factor and remainder theorems, root relationships, polynomial graphs and reciprocal structures to determine coefficients, zeros and permitted roots.

Syllabus
First assessment 2021
Course
Mathematics: analysis and approaches HL
Level
HL

Exam points

  • Use the factor and remainder theorems to determine coefficients, test a stated factor or express a polynomial as linear or quadratic factors.
  • Use sums and products of roots to find unknown coefficients, parameters or transformed root relationships without solving every root directly.
  • Classify and locate real or complex zeros, including repeated roots, and connect them to the polynomial graph and intercepts.
  • Use a polynomial identity or reciprocal/palindromic structure to reduce the equation and determine all permitted roots or parameter values.

Learn this topic

Study AHL 2.12 (HL)—Polynomial functions conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

IB Maths AA HL Ahl 2 12 Hl Polynomial Functions Questions question 1

[Maximum number: 1]

Consider a three-digit code a b c, where each of a, b and c is assigned one of the values 1,2,3,4 or 5 .

Express P(x) as a product of linear factors.

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