VCE Together Year 12 Mathematical Methods: Algebra of Polynomials

#### Mathematical Methods

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# Algebra of Polynomials

### What is a polynomial?

In this post, we examine the algebra of polynomials and define a real polynomial P(x) as the expression a_{n}x^{n} + a_{n-1}x^{n-1} + ... + a_{2}x^{2} + a_{1}x + a_{0} where n = 0, 1, 2, … and a_{0}, a_{1}, a_{2}, ... , a_{n} are real numbers. This is part of the VCE Maths Methods course under the topic Algebra and sub-part Polynomials, specifically focusing on the algebra of polynomials.

### What is the mathematical definition of a polynomial?

The following video covers the mathematical definition of a polynomial where a_{n}x^{n} + a_{n-1}x^{n-1} + ... + a_{2}x^{2} + a_{1}x + a_{0} where n = 0, 1, 2, … and a_{0}, a_{1}, a_{2}, ... , a_{n} are real numbers.

### Understanding the terms and variables of a polynomial

This video covers the theory and definitions of polynomial, going in-depth about what makes up a polynomial.

### A Review of the Algebra of Polynomials

##### Part 1

This video looks the essential parts of the algebra of polynomials, including equating coefficients, long division, remainder theorems and factorisation.

##### Part 2

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