Polynomial

Definition

A polynomial is an algebraic expression made up of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Common examples include linear equations and quadratic equations.

5 Must Know Facts For Your Next Test

1. A quadratic polynomial has the general form ax^2 + bx + c where a, b, and c are constants.
2. The degree of a polynomial is determined by the highest power of the variable in the expression.
3. Polynomials can be classified by their degree: linear (degree 1), quadratic (degree 2), cubic (degree 3), etc.
4. The roots or zeros of a polynomial are the values for which the polynomial equals zero.
5. Quadratic polynomials often appear in applications involving projectile motion, area problems, and optimization.

Review Questions

• What is the general form of a quadratic polynomial?
• How do you determine the degree of a polynomial?
• What are some common applications of quadratic polynomials?

Related terms

Quadratic Equation: A second-degree polynomial equation in the form ax^2 + bx + c = 0.

Root: A solution to a polynomial equation where the expression equals zero.

Coefficient: A numerical factor in terms that make up polynomials.