Polynomials

A polynomial p(x) in one variable

A polynomial p(x) in one variable x is an algebraic expression of the form p(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₂x² + a₁x + a₀, where a₀, a₁, a₂, ..., aₙ a

Each part of a polynomial like

Each part of a polynomial like aₙxⁿ is called a term. The constant multiplying the variable is called the coefficient. For example, in 3x² - 5x + 7, t

The degree of a polynomial

The degree of a polynomial is the highest power of the variable in the polynomial. For example, the degree of 4x⁵ - 3x² + x - 1 is 5. The degree of a

Polynomials are classified as

Polynomials are classified as: Monomial (1 term) like 5x³, Binomial (2 terms) like x² + 3, Trinomial (3 terms) like x² - 4x + 3. Polynomials with more

Linear polynomial (degree 1)

Linear polynomial (degree 1): ax + b where a ≠ 0. Quadratic polynomial (degree 2): ax² + bx + c where a ≠ 0. Cubic polynomial (degree 3): ax³ + bx² +