ObjectiveThe student will be able to:

add and subtract polynomials.

1. Add the following polynomials:(9y - 7x + 15a) + (-3y + 8x - 8a)

Group your like terms.

(9y - 3y)+(- 7x + 8x) + (15a - 8a)

6y + x + 7a

Step 1: Copy the original problem.Step 2: Rewrite and Combine your like terms.

3a2 + 3ab + 4ab - b2 + 6b2

ORYou may underline the like terms like above, instead

of rewriting/regrouping the like terms.3a2 + 7ab + 5b2

2. Add the following polynomials:(3a2 + 3ab - b2) + (4ab + 6b2)

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

+ -3x2 - xy + 2y2

_________________________

x2 - 3xy + 5y2

3. Another way to add polynomials is by using column form.

(4x2 - 2xy + 3y2) + (-3x2 - xy + 2y2)

REQUIRED: Rewrite subtraction as adding the opposite. You are distributing the

subtraction/negative.

(9y - 7x + 15a) + (+ 3y - 8x + 8a)

Then, you may regroup like terms, underline like terms, or use columns to add the polynomials.

Must show your work. I will be able to tell which method you are using.

Answer is 12y - 15x + 23a

4. Subtract the following polynomials:(9y - 7x + 15a) - (-3y + 8x - 8a)

Rewrite subtraction as adding the opposite.

(7a - 10b) + (- 3a - 4b)

4a - 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. Try this one by subtracting the following polynomials using column

form:(4x2 - 2xy + 3y2) - (-3x2 - xy + 2y2)

Try this one. 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

Try the following problems:

• In your Carnegie Textbook, do all problems for #6 on page 462.Remember to show your work and to always rewrite the subtraction problems to an addition problem by distributing the minus or negative.

Note to teacher: Problems are on the following slides. Space is provided to be able to work out the problems so students can check their work/answers.

Assignment

• Skills Practice WB Lesson 10.2

Problem Set #’s 22 – 46 even