Analysis & Approaches HL · Topic 2 · Functions

IB Math AA HL Polynomial Functions Worksheet (questions only)

Polynomials at HL: factor and remainder theorems, sums and products of roots, and sketching from factorised form.

24 pages · 120 marks · questions only · free PDF for IB Mathematics: Analysis and Approaches HL students.

24pages
120marks
3difficulty levels
Nosolutions included
T2Functions

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What this AA HL polynomial functions worksheet covers

Polynomials at HL: factor and remainder theorems, sums and products of roots, and sketching from factorised form. The questions follow the order of the AA HL syllabus for Topic 2 (Functions) and are graded in three bands — routine practice, exam-standard, and the harder multi-step questions that separate a 6 from a 7.

Factor and remainder theorems
Finding all roots of a cubic or quartic
Sum and product of roots
Sketching polynomials from their factorised form
Exam tip for this topic. Test small integer roots first; once one factor is found, divide and factorise the quotient.

Preview

How to use it

  1. Do the first band without the AA HL formula booklet, then check which formulas you had to look up — those are the ones to memorise.
  2. Time the second band at roughly 1.2 minutes per mark, the pace of Paper 1 and Paper 2.
  3. For the third band, compare your method with the matching questions in the AA HL question bank; if you want this set marked, send it to Mr Ahmad.

More AA HL worksheets on Functions

✓ = solutions included

Questions

Is this AA HL polynomial functions worksheet free?

Yes — download the PDF with no sign-up. It is one of over 130 free IB Math worksheets on this site, written to match the current syllabus.

Does it come with answers?

This set is questions only. If you would like it marked, or want the matching solutions, contact Mr Ahmad.

Which IB course is it for?

IB Mathematics: Analysis and Approaches HL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

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