Classifying polynomials
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This document discusses how to classify polynomials based on the number of terms and degree. Polynomials are named according to whether they have 1, 2, or 3 terms, making them monomials, binomials, or trinomials respectively. The degree of a polynomial is the greatest exponent of any term. Various examples of polynomials are given and classified based on these naming conventions.
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Classifying polynomials
- 2. A _______________ is a sum or difference of terms. Polynomials have special names based on their _______ and the number of _______ they have. POLYNOMIAL DEGREE TERMS
- 3. NAMING BY NUMBER OF TERMS POLYNOMIALS MONOMIALS (1 TERM) BINOMIALS (2 TERMS) TRINOMIALS (3 TERMS)
- 4. Classify each polynomial based on the number of terms that it has. Ex. 1: 5x2 + 2x – 4 Ex. 2: 3a3 + 2a Ex. 3: 5mn2 Ex. 4: 3x2 Ex. 5: 4x2 – 7x Ex. 6: -9x2 + 2x – 5 Ex. 7: 5ab2 Ex. 8: -9a2 bc3 – 2ab4 TRINOMIAL BINOMIAL MONOMIAL MONOMIAL BINOMIAL TRINOMIAL MONOMIAL BINOMIAL
- 5. NAMING BY THE DEGREE The __________ of a polynomial is the exponent of the term with the greatest exponent(s). DEGREE Find the degree of each polynomial below. Ex. 1: 5x + 9x2 Degree: Ex. 2: 3x3 + 5x – x2 Degree: Ex. 3: -4x + 7 Degree: Ex. 4: -x4 + 2x2 + 5x3 – x Degree: 2 3 1 4 BINOMIAL TRINOMIAL BINOMAL POLYNOMIAL
- 6. The degree of a monomial is the sum of the exponents. Ex. 5: 5xy + 9x2 y3 Degree: Ex. 6: 3x3 y5 + 5xy – x2 y Degree: Ex. 7: -4xy + 7y3 Degree: Ex. 8: -x4 y + 2x2 y5 Degree: 5 ADD 2 & 3ADD 3 & 5 8 3 ADD 2 & 5 7 BINOMIAL TRINOMIAL BINOMIAL BINOMIAL
- 7. Classify each polynomial above using its degree and number of terms. Ex. 1 Ex. 2 Ex. 3 Ex. 4 Ex. 5 Ex. 6 Ex. 7 Ex. 8 QUADRATIC BINOMIAL CUBIC TRINOMIAL LINEAR BINOMIAL QUARTIC POLYNOMIAL 5TH DEGREE BINOMIAL 8TH DEGREE TRINOMIAL CUBIC BINOMIAL 7TH DEGREE BINOMIAL