Factorisation of Polynomials

A polynomial p(x) = aₙxⁿ +

A polynomial p(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₁x + a₀ where aₙ ≠ 0. Classified by terms: monomial (1 term), binomial (2 terms), trinomial (3 terms). Cl

For polynomials f(x) ÷ g(x)

For polynomials f(x) ÷ g(x), we get f(x) = g(x)·q(x) + r(x), where q(x) is quotient and r(x) is remainder. Either r(x) = 0 or degree of r(x) < degree

For polynomial f(x)

For polynomial f(x), the value at x = α is f(α), obtained by substituting α for x in the polynomial expression. For example, if f(x) = x² + 5x + 4, th

When polynomial f(x) is divided by

When polynomial f(x) is divided by (x - a), the remainder equals f(a). Extensions: remainder when divided by (x + a) is f(-a), when divided by (ax - b

For polynomial f(x)

For polynomial f(x), (x - a) is a factor if and only if f(a) = 0. This means if we substitute a value and get zero, that value gives us a linear facto