CLASSIFYING POLYNOMIALS. A ___________ is a sum or difference of terms. Polynomials have special names based on their _ and the number of _____.

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CLASSIFYING POLYNOMIALS

A _______________ is a sum or difference of terms. Polynomials have special names based on their _______ and the number of _______ they have. POLYNOMIAL DEGREE TERMS

NAMING BY NUMBER OF TERMS POLYNOMIALS MONOMIALS (1 TERM) BINOMIALS (2 TERMS) TRINOMIALS (3 TERMS)

Classify each polynomial based on the number of terms that it has. Ex. 1: 5x 2 + 2x – 4 Ex. 2: 3a 3 + 2a Ex. 3: 5mn 2 Ex. 4: 3x 2 Ex. 5: 4x 2 – 7x Ex. 6: -9x 2 + 2x – 5 Ex. 7: 5ab 2 Ex. 8: -9a 2 bc 3 – 2ab 4 TRINOMIAL BINOMIAL MONOMIAL BINOMIAL TRINOMIAL MONOMIAL BINOMIAL

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 + 9x 2 Degree: Ex. 2: 3x 3 + 5x – x 2 Degree: Ex. 3: -4x + 7 Degree: Ex. 4: -x 4 + 2x 2 + 5x 3 – x Degree: BINOMIAL TRINOMIAL BINOMAL POLYNOMIAL

The degree of a monomial is the sum of the exponents. Ex. 5: 5xy + 9x 2 y 3 Degree: Ex. 6: 3x 3 y 5 + 5xy – x 2 y Degree: Ex. 7: -4xy + 7y 3 Degree: Ex. 8: -x 4 y + 2x 2 y 5 Degree: 5 ADD 2 & 3ADD 3 & ADD 2 & 5 7 BINOMIAL TRINOMIAL BINOMIAL

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 5 TH DEGREE BINOMIAL 8 TH DEGREE TRINOMIAL CUBIC BINOMIAL 7 TH DEGREE BINOMIAL