CLASSIFYING POLYNOMIALS

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Classifying Polynomials

Presentation transcript:

CLASSIFYING POLYNOMIALS

A _______________ is a sum or difference of terms 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: 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: -9a2bc3 – 2ab4 TRINOMIAL BINOMIAL MONOMIAL 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 + 9x2 Degree: Ex. 2: 3x3 + 5x – x2 Degree: Ex. 3: -4x + 7 Degree: Ex. 4: -x4 + 2x2 + 5x3 – x Degree: 2 BINOMIAL 3 TRINOMIAL 1 BINOMAL 4 POLYNOMIAL

The degree of a monomial is the sum of the exponents. ADD 2 & 5 ADD 2 & 3 ADD 3 & 5 Ex. 5: 5xy + 9x2y3 Degree: Ex. 6: 3x3y5 + 5xy – x2y Degree: Ex. 7: -4xy + 7y3 Degree: Ex. 8: -x4y + 2x2y5 Degree: 5 BINOMIAL 8 TRINOMIAL 3 BINOMIAL 7 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 5TH DEGREE BINOMIAL 8TH DEGREE TRINOMIAL CUBIC BINOMIAL 7TH DEGREE BINOMIAL