The polynomial 3x⁴ - 2x³ + 13x² - 5 is of degree .
The leading coefficient is .
(x-a)(x+a) = x² - a² is a
(x + a)² = x² + 2xa + a² is a
4x⁻² is a monomial of degree -2.
The degree of a polynomial is the highest degree of its monomials (individual terms) with
non-zero coefficients.
The degree of the product of two nonzero polynomials equals the sum of their degrees.
If one polynomial has degree m such that its power term is xᵐ, and another polynomial has degree n
such that its power term is xⁿ, regardless of all other terms, the highest degree term of the new polynomial will be
xᵐxⁿ = xᵐ⁺ⁿ, whose degree is the sum of the highest degrees m and n.