• Year 10

# Polynomials

approx. 8 hrs

4 topics

9 concepts

Gain proficiency when working with polynomials.

Available in
ACT NSW NT QLD SA TAS VIC WA

### Overview

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 Reporting

• 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? Simply pick a time that works for you  We'll be in contact to match you with one of our top tutors and book your first session

Starting at

\$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime