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1.2 - Products

1.2 - Products. Commutative Properties. Addition:. Multiplication:. 1.2 - Products. Associative Properties. Addition:. Multiplication:. 1.2 - Products. Distributive Property of Multiplication. 1.2 - Products. Product Rule for Exponents.

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1.2 - Products

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  1. 1.2 - Products Commutative Properties Addition: Multiplication:

  2. 1.2 - Products Associative Properties Addition: Multiplication:

  3. 1.2 - Products Distributive Property of Multiplication

  4. 1.2 - Products Product Rule for Exponents If m and n are positive integers and a is a real number, then Examples:

  5. 1.2 - Products Power Rule for Exponents If m and n are positive integers and a is a real number, then Examples:

  6. 1.2 - Products Power of a Product Rule If m, n, and r are positive integers and a and b are real numbers, then Examples:

  7. 1.2 - Products Multiplying Monomials by Monomials Examples:

  8. 1.2 - Products Multiplying Monomials by Polynomials Examples:

  9. 1.2 - Products Multiplying Two Binomials using FOIL First terms Outer terms Inner terms Last terms

  10. 1.2 - Products Multiplying Two Binomials using FOIL First terms Outer terms Inner terms Last terms

  11. 1.2 - Products Squaring Binomials

  12. 1.2 - Products Multiplying Two Polynomials Examples:

  13. 1.3 – Sums and Differences Algebraic Expression - A combination of operations on variables and numbers. Evaluate the following:

  14. 1.3 – Sums and Differences Evaluate the following:

  15. 1.3 – Sums and Differences Simplify each polynomial.

  16. 1.3 – Sums and Differences Simplify each polynomial.

  17. 1.4 - Factorizations A Number as a Product of Prime Numbers Factor Trees

  18. 1.4 - Factorizations A Number as a Product of Prime Numbers Factor Trees

  19. 1.4 - Factorizations A Number as a Product of Prime Numbers

  20. 1.4 - Factorizations + + 10x + 2x 4x2 5 Factoring by Grouping

  21. 1.4 - Factorizations - - 8x + 3x 2x2 12 Factoring by Grouping

  22. 1.4 - Factorizations - + 14x - 10x 35x2 4 Factoring by Grouping

  23. 1.4 - Factorizations Factors of 50 are: 1, 50 5,10 2, 25 Factoring Trinomials

  24. 1.4 - Factorizations 3, 12 4, 9 6, 6 Factors of 36 are: 1, 36 2, 18 Factoring Trinomials

  25. 1.4 - Factorizations Factors of 9 are: 1, 9 3, 3 Factoring Trinomials

  26. 1.4 - Factorizations Product of 2 and 12: 24 Factors of 24 are: 2, 12 1, 24 3, 8 4, 6 Factoring Trinomials Factors of 24 that combine to 11: 3, 8 - - 8x + 3x 2x2 12

  27. 1.4 - Factorizations Product of 12 and 3: 36 Factors of 36 are: 2, 18 4, 9 6, 6 1, 36 3, 12 Factoring Trinomials Factors of 36 that combine to 16: 2, 18 + - 18ab 3b2 12a2 2ab -

  28. 1.4 - Factorizations The Difference of Two Squares Not the difference

  29. 1.4 - Factorizations The Difference of Two Squares

  30. 1.4 - Factorizations The Sum and Difference of Two Cubes

  31. 1.4 - Factorizations The Sum and Difference of Two Cubes

  32. 1.5 – Quotients What is the Rule? Zero Exponent

  33. 1.5 – Quotients Problem: If a is a real number other than 0 and n is an integer, then

  34. 1.5 – Quotients Examples:

  35. 1.5 – Quotients If a is a real number other than 0 and n is an integer, then Examples:

  36. 1.5 – Quotients Examples:

  37. 1.5 – Quotients Practice Problems

  38. 1.5 – Quotients Practice Problems

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