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You will be able to multiply, divide, and simplify monomial expressions involving powers.You will be able to add, subtract, and multiply polynomials

Today’s Objectives:

Warm UpSimplify the following examples.

1.

2.

3.

4.

Simplifying Monomials

Simplifying is an extremely important part of mathematics.

Simplification Rules:1. There are no powers of powers2. Each base appears exactly once3. All fractions are reduced4. There are no negative exponents.

Examples

Simplify.

1.

2.

3.

Simplification Rules:1. There are no powers of powers2. Each base appears exactly once3. All fractions are reduced4. There are no negative exponents.

Examples

Simplify.

1.

2.

3.

Simplification Rules:1. There are no powers of powers2. Each base appears exactly once3. All fractions are reduced4. There are no negative exponents.

You Try!!!

Simplify.

1.

2. )

3.

4.

Simplification Rules:1. There are no powers of powers2. Each base appears exactly once3. All fractions are reduced4. There are no negative exponents.

Polynomial Expression

You can simplify a polynomial just like you simplify a monomial. Preform the operation indicated, and combine like terms.

Examples

Simplify.

1.

2.

3.

Distributive Property

You can also simplify using the distributive property.

Examples

Find each product.

1.

2.

3.

Examples

Find each product.1.

2.

Multiplying Polynomials

1. Find .

2. Find .

3. Find .

You Try!

Find each product.

HOMEWORK

Lesson 5.1Pg. 307 #’s 28-37