Lesson 7.1 Adding and subtracting polynomials Objective: To add and subtract polynomials To classify polynomial by degree and by number of terms EQ: How do you add /subtract polynomials? Example of a Polynomial Degrees Constant Coefficients

Vocabulary Degree: is the exponent for each variable. Degree of the polynomial: is the largest exponent of the polynomial. (is sum of exponents in same term) Leading coefficient: is the coefficient of the first term. Descending order/Standard form is how polynomials are written where the terms are placed in descending order from largest degree to smallest.

Example: Write the polynomials in Standard form/descending order Example: Write the polynomials in Standard form/descending order. Then identify the leading coefficient and degree of the polynomial. 1. Degree is 7 Leading coefficient is 3 2. Degree is 4 leading coefficient is –2   3.  

Classifying Polynomials By Degree Degree Example Constant 6 -3 Linear 1 3x + 4 -7x + 2 Quadratic 2 Cubic 3 Quartic 4

Classifying polynomials By # of terms # of terms Example Monomial 1 3x Binomial 2 3x + 1 Trinomial 3 Note: Any polynomials with four or more terms are just called polynomials

Write answers in descending order Adding polynomials Write answers in descending order Combine like terms to add polynomials EX: EX:

Subtracting Polynomials 1. 2.