Adding and Subtracting Polynomials Section 7.1

Bellwork

Add (3x+2)+(x-5) 4X - 3

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Finding the Degrees of Monomials  A monomial is a number, a variable, or the product of a number and one or more variables with whole number exponents.  The degree of a monomial is the sum of the exponents of the variables in the monomial. The degree of a nonzero constant term is 0. The constant 0 does not have a degree.

Degree of Monomial

Finding the Degrees of Monomials

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Polynomial

Bellwork

Adding polynomials

Adding Polynomials

Practice

Line up your like terms. 4x 2 - 2xy + 3y 2 +-3x 2 - xy + 2y 2 _________________________ x 2 - 3xy + 5y 2 3. Add the following polynomials using column form: (4x 2 - 2xy + 3y 2 ) + (-3x 2 - xy + 2y 2 )

Rewrite subtraction as adding the opposite. (9y - 7x + 15a) + (+ 3y - 8x + 8a) Group the like terms. 9y + 3y - 7x - 8x + 15a + 8a 12y - 15x + 23a Subtract the following polynomials: (9y - 7x + 15a) - (-3y + 8x - 8a)

Rewrite subtraction as adding the opposite. (7a - 10b) + (- 3a - 4b) Group the like terms. 7a - 3a - 10b - 4b 4a - 14b 5. Subtract the following polynomials: (7a - 10b) - (3a + 4b)

Line up your like terms and add the opposite. 4x 2 - 2xy + 3y 2 +(+ 3x 2 + xy - 2y 2 ) x 2 - xy + y 2 6. Subtract the following polynomials using column form: (4x 2 - 2xy + 3y 2 ) - (-3x 2 - xy + 2y 2 )

Find the sum or difference. (5a – 3b) + (2a + 6b) 1. 3a – 9b 2. 3a + 3b 3. 7a + 3b 4. 7a – 3b

Find the sum or difference. (5a – 3b) – (2a + 6b) 1. 3a – 9b 2. 3a + 3b 3. 7a + 3b 4. 7a – 9b

Subtraction Polynomials

Subtracting Polynomial

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