• Mathematics Extension 1
  • Year 11


approx. 8 hrs

5 topics

17 concepts

Attain proficiency in Polynomials to optimise your academic results.

Available in


We help students in Year 11 Mathematics Extension 1 learn the essential skills associated with Polynomials as specified in the NSW Mathematics syllabus. In this program, we teach students extensive algebraic skills to enable them to manipulate polynomials to find rational factors, and fully factorise any given polynomial. In addition, we show students how to sketch polynomials using rational factors.

Topics & Concepts We Cover

This learning program is made up of the following 5 topics, broken down into 17 concepts.

  • Operations with Polynomials 4 concepts

    1. Division of polynomials

    2. Add and subtract polynomials and multiply polynomials by linear expressions

    3. Identify a polynomial expression and describe the key features using appropriate terminology

    4. State the degree of a polynomial after adding, subtracting, multiplying or dividing of one or more polynomials

  • Remainder and Factor Theorem 5 concepts

    1. Applications of the remainder or factor theorem

    2. Use given data to find the roots of a polynomial

    3. Equating coefficients of a polynomial

    4. Verify the remainder theorem and use it to find factors

    5. Use the factor theorem and long division to find all zeroes of a polynomial

  • Sketching Polynomials 3 concepts

    1. Graph and identify key features of graphs of power functions including turning point form

    2. Sketch polynomials with degree no more than four by using the leading term, the roots and the x- and y-intercepts

    3. Determine the effect of single, double and triple roots of a polynomial equation on the shape of the graph

  • Roots and Coefficients of a Polynomial 2 concepts

    1. Root-coefficient relationships for cubic equations

    2. Root-coefficient relationships for quartic equations

  • Approximation Solutions of Equations 3 concepts

    1. Approximate solutions of equations using Newton's method

    2. Approximate solutions of equations through an iterative process

    3. Approximate solutions of equations by halving the interval

What you'll get

Learning Content

  • A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
  • All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

  • We match you to a private, expert tutor who is right for your needs and goals
  • Our tutors are talented, tested, top ATAR achievers and subject experts
  • During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Polynomials


  • Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
  • You and your parents receive a comprehensive feedback report after every session
  • Every session is recorded and available for you to watch at any time, allowing you to review what was covered

Ready to start this program?

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Starting at

$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime

Access to practice questions

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