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Polynomial

★★☆☆☆Middle School

📖Definition

An expression consisting of terms with variables and coefficients combined by addition.

📐Formulas

P(x) = aₙxⁿ + a_n-1x^n-1 + ... + a₁x + a₀

General form of degree n polynomial

  • nDegree of polynomial
  • aₙLeading coefficient (≠0)
  • a₀Constant term

✏️Examples

예제 1☆☆☆☆

Find the degree and leading coefficient of 3x³ + 2x² - 5x + 1.

예제 2☆☆☆☆

Compute (2x² + 3x - 1) + (x² - 2x + 4).

Applications

Physics

Motion equations

Economics

Cost/revenue functions

#algebra#polynomial#fundamental