Polynomials

A polynomial is an algebraic expression

A polynomial is an algebraic expression where all variables have powers that are whole numbers (0, 1, 2, 3, ...). Examples: 3x² + 2x - 5, 7y³ - 2y + 1

For one variable

For one variable: highest power of the variable. For multiple variables: highest sum of powers in any term. Example: In 5x³ + 2x² - x + 7, degree is 3

Monomial (1 term)

Monomial (1 term): 5x³, Binomial (2 terms): x² + 3, Trinomial (3 terms): x² + 2x + 1. Types based on degree: Linear (degree 1), Quadratic (degree 2),

Standard form

Standard form: terms arranged in descending powers (x⁴ - 3x² + x + 5). Index form: includes missing terms with zero coefficients (x⁴ + 0x³ - 3x² + x +

A shortcut method for dividing polynomials

A shortcut method for dividing polynomials by linear factors of the form (x + a) or (x - a). Uses only coefficients and simple arithmetic operations i