• Mathematics Advanced
  • Year 10


approx. 8 hrs

4 topics

9 concepts

Gain proficiency when working with polynomials.

Available in


The principal focus of polynomials is to explore the behaviour of polynomials algebraically and graphically. Students will investigate the concept of a polynomial and apply the remainder and factor theorems to solve problems. Students will learn to apply an understanding of polynomials to sketch a range of curves and describe the features of these curves from their equation.

Topics & Concepts We Cover

This learning program is made up of the following 4 topics, broken down into 9 concepts.

  • Identify Polynomials 2 concepts

    1. Use the notation P(x) for polynomials and P(c) to indicate the value of P(x) for x=c

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

  • Simplify Linear Expressions uing Polynomials 3 concepts

    1. Division of polynomials

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

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

  • Remainder and Factor Theorem 2 concepts

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

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

  • Sketch Polynomials 2 concepts

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

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

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

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Starting at

$49(inc. GST)

per session

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