Polynomial Fundamentals
A polynomial is an expression built from variables, coefficients, and non-negative integer exponents using addition, subtraction, and multiplication. The standard form looks like , where the constants ( to ) are called coefficients.
The degree of a polynomial is the highest power of the variable. For example, in , the degree is 2. Each part separated by addition or subtraction is called a term, and the numerical factor in each term is its coefficient. The coefficient of the highest-degree term (like the 3 in ) is the leading coefficient.
When adding or subtracting polynomials, you simply combine like terms. For instance, gives you . This works because terms with the same variables and exponents can be grouped together.
Quick Tip: When working with polynomials, always arrange terms in descending order of degree (highest power first). This makes operations easier and helps avoid mistakes!
