HSC Together Year 11 Maths Advanced: Defining a Real Polynomial

• Working With Functions
• Trigonometric Functions
• Calculus
• Exponential and Logarithmic Functions
• Statistical Analysis
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# Defining a Real Polynomial

### What is a polynomial?

In this post, we 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, as a part of the Prelim Maths Advanced course under the topic Working with Functions and sub-part Further Functions and Relations, specifically focusing on defining real 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.

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