8.1 adding and subtracting polynomials Day 1. Monomial “one term” Degree of a monomial: sum of the exponents of its variables. Zero has no degree. a.

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8.1 adding and subtracting polynomials Day 1

Monomial “one term” Degree of a monomial: sum of the exponents of its variables. Zero has no degree. a. 5x Degree: 1 Degree: 5 Degree: 2 Binomial “two terms” ex: 2x + 3 Trinomial

Adding and subtracting monomials What is the sum or difference?

Polynomial: a monomial or a sum of monomials Standard form of a polynomial —exponent decreases from left to right. (high to low) Degree of a polynomial — largest exponent of the polynomial 4

PolynomialDegreeName using degree Number of terms Name using number of terms 6 5x constant linear quadratic cubic 4 th degree monomial binomial trinomial monomial trinomial

Classifying polynomials Write each polynomial in standard form. What is the name based on its degree and number of terms? Standard form name Quadratic binomial cubic trinomial Assignment: pg 489: 8-29