Algebra 1 · Polynomials & Exponents

Leading Coefficient

Algebra 1 · Polynomials & Exponents

Definition

The leading coefficient is the coefficient of the term with the greatest exponent, written first in standard form.

Teach it

Where it is taught, with guided notes, practice, homework, an exit ticket and an interactive Teacher Deck.

Examples

  • In 3x2 + 5x − 1, the leading coefficient is 3.
  • In −x3 + 2x, the leading coefficient is −1.

Key rule

Order by exponent; the leading coefficient sits out front.

Memory hook

Leading coefficient leads the highest-power term.