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Understanding Polynomials: Definitions & Examples

Learn about polynomials, their identification by terms and degree, examples of monomials, binomials, and trinomials, and how to determine the degree of a polynomial.

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Understanding Polynomials: Definitions & Examples

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  1. Chapter 10 - Polynomials Tab 1: Identifying Polynomials

  2. Definition Polynomials : Is a monomial or a sum of monomials The prefix poly- means more than one, the suffix –nomial mean name but in math it means terms. Therefore, Polynomial meansmore than one term. Examples of Polynomials: * Terms are separated by a + or - sign. 2 12x³y 8x² + 4x – 3 x² - 9

  3. Identifying Polynomials Polynomials are identified in two ways by the number of terms and by degree.

  4. Identifying Polynomials by Terms Monomial: Mon means one, a polynomial with one term. Examples of Monomials: -4x 5 6x²y³

  5. Identifying Polynomials by Terms * Terms are separated by a + or - sign. • Binomial: Bi means two, a polynomial with two terms. Examples of Binomials: -4x + 3 x³- 225 6x²y³ - x

  6. Identifying Polynomials by Terms * Terms are separated by a + or - sign. Trinomial: Tri means three, a polynomial with three terms. Examples of Trinomials: 8x² + 4x – 3 x²y³ + xy² – y 64y³ + y² – 2 * More than 3 terms is called a polynomial*

  7. Identifying Polynomials by Degree Degree of the Polynomial is determined by the largest exponent of the variable. Examples: 5x³ + 4x² -6 has a degree of 3 Cubic x² + 4 has a degree of 2 Quadratic 3x+ 1 has a degree of 1 Linear 2has a degree of 0 Constant * More than a degree of 3 , just write the number.*

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