Adding and Subtracting Polynomials Notes

Notes: Polynomials (Adding/Subtracting)

Like terms are defined as having the same _____________________ and the same ________________________.

When adding and subtracting polynomials, you add and subtract the __________________________________.

ADDING Polynomials:

1. Remove parentheses and rewrite each term.

2. Combine _____________ terms!

**Note: Final answers should be in _____________________ form of polynomials!

Example 1: Simplify.

(a) (b)

What about these:

1. Distribute _________________ outside of the _________________________ FIRST!

2. Follow Steps Above

Try it…… (c)

SUBTRACTING Polynomials:

Subtraction is the same thing as adding the _________________________.

1. Remove the parentheses from the first expression and rewrite each term; ____ _____ change the signs.

2. When you remove the parentheses from the second expression, change each term to its _________________________ sign.

3. ______________________ like terms.

Example 2: Simplify.

(a) (b)

What if it looks like this:

1. Distribute the ______________ outside of the parenthesis to each _______________ FIRST!
(Be Mindful of the MINUS!)

2. Multiply the __________________

3. Combine ____________ terms.

Try it……

(c)

Notes: Polynomials (Adding/Subtracting)

Like terms are defined as having the same ______VARIABLE______ and the same _____DEGREE (EXPONENT)____.

When adding and subtracting polynomials, you add and subtract the ______COEFFICIENTS_____________.

ADDING Polynomials:

3. Remove parentheses and rewrite each term.

4. Combine ____LIKE____ terms!

**Note: Final answers should be in ____SIMPLEST_______ form of polynomials!

Example 1: Simplify.

(a) (b)

What about these:

3. Distribute __NUMBER___ outside of the _____PARENTHESES_______ FIRST!

4. Follow Steps Above

Try it…… (c)

SUBTRACTING Polynomials:

Subtraction is the same thing as adding the _____OPPOSITE______.

4. Remove the parentheses from the first expression and rewrite each term; _DO_ _NOT_ change the signs.

5. When you remove the parentheses from the second expression, change each term to its ___OPPOSITE_____ sign.

6. ___COMBINE___ like terms.

Example 2: Simplify.

(a) (b)

What if it looks like this:

4. Distribute the ___NUMBER___ outside of the parenthesis to each __COEFFICIENT__ FIRST!
(Be Mindful of the MINUS!)

5. Multiply the __COEFFICIENTS___

6. Combine __LIKE____ terms.

Try it……

(c)