HSC Together Year 11 Maths Extension: Division of Polynomials

#### Maths Extension

• Further Work with Functions
• Polynomials
• Inverse Trigonometric Functions
• Further Trigonometric Identities
• Rates of Change
• Working with Combinatorics
• Back to other subjects
Back to other subjects

# Division of Polynomials

Now that we know a little bit about polynomials and functions, we can start to understand how we can express them using factors and remainders. This is part of the Prelim Maths Extension 1 Syllabus from the topic Functions: Polynomials. In this post, we will explore the Remainder and factor theorems division of polynomials.

Here we will learn to use division of polynomials to express

P(x)[\latex]

in the form P(x) = A(x) \times Q(x) + R(x)[\latex]

where the degree of R(x) [\latex]is greater than that of A(x)[\latex]

where  A(x)[\latex] is a linear or quadratic divisor,

Q(x)[\latex] the quotient and R(x)[\latex] the remainder.

Let's explore this concept in the following videos.

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