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Published byHelena Lawson Modified over 9 years ago

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1.2 - Products Commutative Properties Addition: Multiplication:

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1.2 - Products Associative Properties Addition: Multiplication:

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1.2 - Products Distributive Property of Multiplication

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**Product Rule for Exponents**

1.2 - Products Product Rule for Exponents If m and n are positive integers and a is a real number, then Examples:

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**Power Rule for Exponents**

1.2 - Products Power Rule for Exponents If m and n are positive integers and a is a real number, then Examples:

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**1.2 - Products Power of a Product Rule Examples:**

If m, n, and r are positive integers and a and b are real numbers, then Examples:

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1.2 - Products Multiplying Monomials by Monomials Examples:

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1.2 - Products Multiplying Monomials by Polynomials Examples:

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**Multiplying Two Binomials using FOIL**

1.2 - Products Multiplying Two Binomials using FOIL First terms Outer terms Inner terms Last terms

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**Multiplying Two Binomials using FOIL**

1.2 - Products Multiplying Two Binomials using FOIL First terms Outer terms Inner terms Last terms

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1.2 - Products Squaring Binomials

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**Multiplying Two Polynomials**

1.2 - Products Multiplying Two Polynomials Examples:

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1.3 – Sums and Differences Algebraic Expression - A combination of operations on variables and numbers. Evaluate the following:

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1.3 – Sums and Differences Evaluate the following:

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1.3 – Sums and Differences Simplify each polynomial.

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1.3 – Sums and Differences Simplify each polynomial.

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**A Number as a Product of Prime Numbers**

1.4 - Factorizations A Number as a Product of Prime Numbers Factor Trees

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**A Number as a Product of Prime Numbers**

1.4 - Factorizations A Number as a Product of Prime Numbers Factor Trees

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**A Number as a Product of Prime Numbers**

1.4 - Factorizations A Number as a Product of Prime Numbers

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1.4 - Factorizations Factoring by Grouping 4x2 + 2x + 10x + 5

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1.4 - Factorizations Factoring by Grouping 2x2 - 3x - 8x + 12

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1.4 - Factorizations Factoring by Grouping 35x2 - 10x + 14x - 4

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**1.4 - Factorizations Factoring Trinomials Factors of 50 are: 1, 50**

2, 25 5,10

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**1.4 - Factorizations Factoring Trinomials Factors of 36 are: 1, 36**

2, 18 3, 12 4, 9 6, 6

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1.4 - Factorizations Factoring Trinomials Factors of 9 are: 1, 9 3, 3

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**1.4 - Factorizations Factoring Trinomials Product of 2 and 12: 24**

Factors of 24 are: 1, 24 2, 12 3, 8 4, 6 Factors of 24 that combine to 11: 3, 8 2x2 - 3x - 8x + 12

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**1.4 - Factorizations Factoring Trinomials Product of 12 and 3: 36**

Factors of 36 are: 1, 36 2, 18 3, 12 4, 9 6, 6 Factors of 36 that combine to 16: 2, 18 12a2 + 2ab - 18ab - 3b2

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**The Difference of Two Squares**

1.4 - Factorizations The Difference of Two Squares Not the difference

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**The Difference of Two Squares**

1.4 - Factorizations The Difference of Two Squares

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**The Sum and Difference of Two Cubes**

1.4 - Factorizations The Sum and Difference of Two Cubes

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**The Sum and Difference of Two Cubes**

1.4 - Factorizations The Sum and Difference of Two Cubes

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1.5 – Quotients What is the Rule? Zero Exponent

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**If a is a real number other than 0 and n is an integer, then**

1.5 – Quotients Problem: If a is a real number other than 0 and n is an integer, then

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1.5 – Quotients Examples:

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**If a is a real number other than 0 and n is an integer, then**

1.5 – Quotients If a is a real number other than 0 and n is an integer, then Examples:

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1.5 – Quotients Examples: = 1 𝑦 11

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1.5 – Quotients Practice Problems = 1 𝑦 30

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1.5 – Quotients Practice Problems

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