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Section 5.1

Section 5.1. Polynomials Addition And Subtraction. Classify polynomials. A. OBJECTIVES. Find the degree of a polynomial and write descending order. B. OBJECTIVES. Evaluate a polynomial. C. OBJECTIVES. Add or subtract polynomials. D. OBJECTIVES.

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Section 5.1

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  1. Section 5.1 Polynomials Addition And Subtraction

  2. Classify polynomials. A OBJECTIVES

  3. Find the degree of a polynomial and write descending order. B OBJECTIVES

  4. Evaluate a polynomial. C OBJECTIVES

  5. Add or subtract polynomials. D OBJECTIVES

  6. Solve applications involving sums or differences of polynomials. E OBJECTIVES

  7. DEFINITION Degree of a Polynomial in One Variable The degree of a polynomial in one variable is the greatest exponent of that variable.

  8. DEFINITION Degree of a Polynomial in Several Variables The greatest sum of the exponents of the variables in any one term of the polynomial.

  9. RULES Properties for Adding Polynomials

  10. RULES Properties for Adding Polynomials

  11. RULES Properties for Adding Polynomials

  12. RULES Subtracting Polynomials

  13. Section 5.1A,B Chapter 5 Exercise #1

  14. Classify as a monomial, binomial, or trinomial and give the degree. Binomial. Degree is determined by comparing Degree 8

  15. Section 5.1D Chapter 5 Exercise #5

  16. METHOD 1

  17. METHOD 2

  18. Section 5.1D Chapter 5 Exercise #6

  19. METHOD 1

  20. METHOD 1

  21. METHOD 1

  22. METHOD 2

  23. Section 5.2 Multiplication of Polynomials

  24. Multiply a monomial by a polynomial. A OBJECTIVES

  25. Multiply two polynomials. B OBJECTIVES

  26. Use the FOIL method to multiply two binomials. C OBJECTIVES

  27. Square a binomial sum or difference. D OBJECTIVES

  28. Find the product of the sum and the difference of two terms. E OBJECTIVES

  29. Use the ideas discussed to solve applications. F OBJECTIVES

  30. RULES Multiplication of Polynomials

  31. USING FOIL To Multiply Two Binomials (x + a)(x + b)

  32. RULE To Square a Binomial Sum

  33. RULE To Square a Binomial Difference

  34. PROCEDURE Sum and Difference of Same Two Monomials

  35. Section 5.2B,C Chapter 5 Exercise #8a

  36. METHOD 1

  37. METHOD 2

  38. Section 5.2D Chapter 5 Exercise #9b

  39. Section 5.2E Chapter 5 Exercise #10

  40. Product of Sum and Difference ofSame Two Monomials

  41. Section 5.3 The Greatest Common Factor and Factoring by Grouping

  42. Factor out the greatest common factor in a polynomial. A OBJECTIVES

  43. Factor a polynomial with four terms by grouping. B OBJECTIVES

  44. GREATEST COMMON FACTOR is the Greatest Common monomial Factor (GCF) of a polynomial in x if: 1. a is the greatest integer that divides each coefficient.

  45. GREATEST COMMON FACTOR is the Greatest Common monomial Factor (GCF) of a polynomial in x if: 2. n is the smallest exponent of x in all the terms.

  46. PROCEDURE Factoring by Grouping Group terms with common factors using the associative property.

  47. PROCEDURE Factoring by Grouping Factor each resulting binomial.

  48. PROCEDURE Factoring by Grouping Factor out the binomial using the GCF, by the distributive property.

  49. Section 5.3B Chapter 5 Exercise #12

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