# HSC Higher Mathematics 2nd Paper Note 4th Chapter Polynomials and Polynomial Equations

HSC Higher Mathematics 2nd Paper Note 4th Chapter Polynomials and Polynomial Equations. A Polynomial can be expressed in terms that only have positive integer exponents and the operations of addition, subtraction, and multiplication. In other words, it must be possible to write the expression without division. It’s easiest to understand what makes something a polynomial equation by looking at examples and non-examples as shown below.

## HSC Higher Mathematics 2nd Paper Note 4th Chapter Polynomials and Polynomial Equations

Is actually a polynomial because it’s possible to simplify this to 3x + 1 –which of course satisfies the requirements of a polynomial. (Remember the definition states that the expression ‘can’ be expressed using addition, subtraction, multiplication. So, if it’s possible to simplify an expression into a form that uses only those operations and whose exponents are all positive integers…then you do indeed have a polynomial equation)

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