Polynomials

A polynomial in one variable x

A polynomial in one variable x is an algebraic expression of the form aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₁x + a₀, where n is a non-negative integer and a₀, a₁,

Each part of a polynomial separated

Each part of a polynomial separated by + or - signs is called a term. For instance, in 5x³ - 4x² + 7x - 2, the terms are 5x³, -4x², 7x, and -2. The co

The degree is the highest power

The degree is the highest power of the variable in a polynomial. In 7x⁴ + 3x² - 5, the degree is 4. In a constant polynomial like 5, the degree is 0.

Polynomials are classified by number

Polynomials are classified by number of terms: monomials (1 term like 5x²), binomials (2 terms like x² + 3), and trinomials (3 terms like x² + 5x + 6)

A zero of polynomial p(x)

A zero of polynomial p(x) is a value c such that p(c) = 0. Finding zeroes means solving the equation p(x) = 0. For example, in p(x) = x - 3, substitut