Pₙ Polynomial Calculator

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Understanding Polynomials

A polynomial is an expression with one or more terms, each involving a variable raised to a non-negative integer power. The degree is the highest power.

P(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₁x + a₀
Example: P(x) = 2x³ − 4x² + x − 5

Types of Polynomials

Monomial
1 term: 5x²
Binomial
2 terms: x + 3
Trinomial
3 terms: x²+x+1
Polynomial
4+ terms

Frequently Asked Questions

What is a polynomial? ▼
A polynomial is a mathematical expression consisting of variables and coefficients, using only addition, subtraction, multiplication, and non-negative integer exponents. Examples: x+1, 3x²−2x+7.
What is the degree of a polynomial? ▼
The degree is the highest power (exponent) of the variable. For 2x³ − 4x² + x − 5, the degree is 3 (cubic polynomial).
How do you evaluate a polynomial? ▼
Substitute the value of x into the expression and calculate. For P(x) = 2x² + 3 at x=4: P(4) = 2(16) + 3 = 35.