ALG006 · Algebraic expressions · Classes 8–10
Polynomials
A polynomial is a sum of terms where each variable has a whole-number power. It is named by its highest power (its degree): linear, quadratic, cubic, …
P(x)Polynomials
📐 Formula
P(x) = aₙxⁿ + … + a₁x + a₀
✏️ Worked example
2x² − x + 3 is a quadratic polynomial (degree 2). P(2) = 8 − 2 + 3 = 9.
🌍 Where it is used
Modelling curves in engineering, economics and computer graphics.
❓ Quick check
Which is NOT a polynomial?
🏋️ Practice
EasyDegree of 4x³ − x?
Answer: 3
MediumFind P(1) for P(x) = x² + x + 1.
Answer: 3
ChallengeIs √x + 1 a polynomial?
Answer: No (power ½)