Polynomial
Definition
Polynomials are algebraic expressions consisting of variables, coefficients, and exponents, combined using addition, subtraction, multiplication, and non-negative integer exponents.
Analogy
Imagine polynomials as different flavors of ice cream scoops stacked on top of each other. Each scoop represents a term with its own coefficient and exponent, and when combined together they create a polynomial expression.
Related terms
Degree: The degree of a polynomial is determined by the highest exponent in any term. It helps classify polynomials as linear (degree 1), quadratic (degree 2), cubic (degree 3), etc.
Factoring: Factoring involves breaking down polynomials into their simplest form by finding common factors or using techniques like difference of squares or grouping.
Synthetic Division: Synthetic division is a shortcut method for dividing polynomials by binomials without having to use long division. It simplifies polynomial division calculations.
"Polynomial" appears in:
Practice Questions (1)
- Generally speaking, should the portion of the integral that is a polynomial be your f(x) or your g(x)?
Resources
© 2024 Fiveable Inc. All rights reserved.
AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.