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.
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.