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Mathematics · Polynomial FunctionsMATHEMATICS · GRADE 10
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Mathematics · Polynomial Functions · Topic 1 · 1 of 18

Introduction to Polynomial Functions

Identify polynomial functions and distinguish them from other expressions.

Polynomial functionA function made from constants and variables with whole-number exponents.
Allowed exponents0, 1, 2, 3, ... only. Negative and fractional exponents are not polynomial.
Finite number of termsTerms are joined by addition or subtraction, such as 3x² − 2x + 5.

How to recognize one

  1. Check that variables are not in denominators.
  2. Check that variables are not inside radicals.
  3. Check that every variable exponent is a nonnegative integer.

Polynomial: f(x)=4x³−2x+7   Not polynomial: g(x)=x+1 or h(x)=2x