Classifying, Adding/Subtracting, and Multiplying Polynomials

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Polynomials are classified by their degree, which is the highest power of the variable in the expression. For example, a polynomial of degree 2 is called a quadratic.

Polynomials can be classified as monomials (1 term), binomials (2 terms), and trinomials (3 terms). Polynomials with more than three terms are simply called polynomials.

The degree of the polynomial is 3, which is the highest exponent of the variable x.

To add polynomials, combine like terms by adding their coefficients while keeping the variable part the same.

The result is x^2 + 3x.

The area of a rectangle is calculated using the formula: Area = length × width.

The area is (5x - 2)(3x + 4) = 15x^2 + 14x - 8.

The perimeter of a rectangle is calculated using the formula: Perimeter = 2(length + width).

The perimeter is 2(4x + 3x) = 14x.