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4.1 The Product Rule and Power Rules for Exponents

- Review PEMDAS (order of operations) note that

exponentiation is number 2. - Product rule for exponents
- Example

4.1 The Product Rule and Power Rules for Exponents

- Power Rule (a) for exponents
- Power Rule (b) for exponents
- Power Rule (c) for exponents

4.1 The Product Rule and Power Rules for Exponents

- A few tricky ones

4.1 The Product Rule and Power Rules for Exponents

- Examples (true or false)

4.2 Integer Exponents and the Quotient Rule

- Definition of a zero exponent
- Definition of a negative exponent

4.2 Integer Exponents and the Quotient Rule

- Changing from negative to positive exponents
- Quotient rule for exponents

4.2 Integer Exponents and the Quotient Rule

- Examples

4.3 An Application of Exponents Scientific

Notation

- Writing a number in scientific notation
- Move the decimal point to the right of the first

non-zero digit. - Count the places you moved the decimal point.
- The number of places that you counted in step 2

is the exponent (without the sign) - If your original number (without the sign) was

smaller than 1, the exponent is negative. If it

was bigger than 1, the exponent is positive

4.3 An Application of Exponents Scientific

Notation

- Converting to scientific notation (examples)
- Converting back just undo the process

4.3 An Application of Exponents Scientific

Notation

- Multiplication with scientific notation
- Division with scientific notation

4.4 Adding and Subtracting PolynomialsGraphing

Simple Polynomials

- When you read a sentence, it split up into words.

There is a space between each word. - Likewise, a mathematical expression is split up

into terms by the /- sign - A term is a number, a variable, or a product or

quotient of numbers and variables raised to

powers.

4.4 Adding and Subtracting PolynomialsGraphing

Simple Polynomials

- Like terms terms that have exactly the same

variables with exactly the same exponents are

like terms - To add or subtract polynomials, add or subtract

the like terms.

4.4 Adding and Subtracting PolynomialsGraphing

Simple Polynomials

- Degree of a term sum of the exponents on the

variables - Degree of a polynomial highest degree of any

non-zero term

4.4 Adding and Subtracting PolynomialsGraphing

Simple Polynomials

- Monomial polynomial with one term
- Binomial - polynomial with two terms
- Trinomial polynomial with three terms
- Polynomial in x a term or sum of terms of the

form

4.5 Multiplication of Polynomials

- Multiplying a monomial and a polynomial use the

distributive property to find each

product.Example

4.5 Multiplication of Polynomials

- Multiplying two polynomials

4.5 Multiplication of Polynomials

- Multiplying binomials using FOIL (First Inner

Outer - Last) - F multiply the first 2 terms
- O multiply the outer 2 terms
- I multiply the inner 2 terms
- L multiply the last 2 terms
- Combine like terms

4.6 Special Products

- Squaring binomials
- Examples

4.6 Special Products

- Product of the sum and difference of 2 terms
- Example

4.7 Division of Polynomials

- Dividing a polynomial by a monomialdivide each

term by the monomial

4.7 Division of Polynomials

- Dividing a polynomial by a polynomial

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