Adding and Subtracting Polynomials

Section 7.1

Bellwork

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

4X - 3

( + 2x + 2) − (x − 1)

+ x + 3

You Try

a. ( + 2x − 1) + (2 − 2x + 1) b. (4x + 3) + (x − 2) c. ( + 2) − (3 + 2x + 5) d. (2x − 3x) − ( − 2x + 4)

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

You Try

Polynomial

Bellwork

Adding polynomials

Adding Polynomials

Practice

Line up your like terms. 4x2 - 2xy + 3y2

+ -3x2 - xy + 2y2_________________________

x2 - 3xy + 5y2

3. Add the following polynomials using column form:(4x2 - 2xy + 3y2) + (-3x2 - xy + 2y2)

Rewrite subtraction as adding the opposite.

(9y - 7x + 15a) + (+ 3y - 8x + 8a)Group the like terms.

9y + 3y - 7x - 8x + 15a + 8a12y - 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 - 4b4a - 14b

5. Subtract the following polynomials:(7a - 10b) - (3a + 4b)

Line up your like terms and add the opposite.

4x2 - 2xy + 3y2

+(+ 3x2 + xy - 2y2)--------------------------------------

7x2 - xy + y2

6. Subtract the following polynomials using column form:(4x2 - 2xy + 3y2) - (-3x2 - xy + 2y2)

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

1. 3a – 9b2. 3a + 3b3. 7a + 3b4. 7a – 3b

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

1. 3a – 9b2. 3a + 3b3. 7a + 3b4. 7a – 9b

Subtraction Polynomials

Subtracting Polynomial

You Try