1 / 43

7.5 – Adding & Subtracting Polynomials

7.5 – Adding & Subtracting Polynomials. “Combining Like Terms” -. “Combining Like Terms” - ???. “Combining Like Terms” - ??? - Only if have exact same variables with exact same exponents on those variables!!!. “Combining Like Terms” - ???

jaquelyn-porter
Download Presentation

7.5 – Adding & Subtracting Polynomials

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 7.5 – Adding & Subtracting Polynomials

  2. “Combining Like Terms” -

  3. “Combining Like Terms” - ???

  4. “Combining Like Terms” - ??? - Only if haveexact same variables with exact same exponents on those variables!!!

  5. “Combining Like Terms” - ??? - Only if haveexact same variables with exact same exponents on those variables!!!

  6. “Combining Like Terms” - ??? - Only if haveexactsame variables with exact same exponents on those variables!!!

  7. “Combining Like Terms” - ??? - Only if haveexactsame variables with exact same exponents on those variables!!!

  8. “Combining Like Terms” - ??? - Only if haveexactsame variables with exactsame exponents on those variables!!!

  9. “Combining Like Terms” - ??? - Only if haveexactsame variables with exactsame exponents on those variables!!! Ex. 1 Find (3x2 – 4x + 8) + (2x – 7x2 – 5).

  10. “Combining Like Terms” - ??? - Only if haveexactsame variables with exactsame exponents on those variables!!! Ex. 1 Find (3x2 – 4x + 8) + (2x – 7x2 – 5). (3x2 – 4x + 8) + (2x – 7x2 – 5)

  11. “Combining Like Terms” - ??? - Only if haveexactsame variables with exactsame exponents on those variables!!! Ex. 1 Find (3x2 – 4x + 8) + (2x – 7x2 – 5). (3x2 – 4x + 8) + (2x – 7x2 – 5) 3x2 – 4x + 8 + 2x – 7x2 – 5

  12. “Combining Like Terms” - ??? - Only if haveexactsame variables with exactsame exponents on those variables!!! Ex. 1 Find (3x2 – 4x + 8) + (2x – 7x2 – 5). (3x2 – 4x + 8) + (2x – 7x2 – 5) 3x2 – 4x + 8 + 2x– 7x2 – 5

  13. “Combining Like Terms” - ??? - Only if haveexactsame variables with exactsame exponents on those variables!!! Ex. 1 Find (3x2 – 4x + 8) + (2x – 7x2 – 5). (3x2 – 4x + 8) + (2x – 7x2 – 5) 3x2 – 4x + 8 + 2x – 7x2 – 5 3x2 – 7x2

  14. “Combining Like Terms” - ??? - Only if haveexactsame variables with exactsame exponents on those variables!!! Ex. 1 Find (3x2 – 4x + 8) + (2x – 7x2 – 5). (3x2 – 4x + 8) + (2x – 7x2 – 5) 3x2– 4x + 8 + 2x – 7x2 – 5 3x2 – 7x2

  15. “Combining Like Terms” - ??? - Only if haveexactsame variables with exactsame exponents on those variables!!! Ex. 1 Find (3x2 – 4x + 8) + (2x – 7x2 – 5). (3x2 – 4x + 8) + (2x – 7x2 – 5) 3x2 – 4x + 8 + 2x – 7x2 – 5 3x2 – 7x2 – 4x + 2x

  16. “Combining Like Terms” - ??? - Only if haveexactsame variables with exactsame exponents on those variables!!! Ex. 1 Find (3x2 – 4x + 8) + (2x – 7x2 – 5). (3x2 – 4x + 8) + (2x – 7x2 – 5) 3x2 – 4x+ 8 + 2x – 7x2– 5 3x2 – 7x2 – 4x + 2x

  17. “Combining Like Terms” - ??? - Only if haveexactsame variables with exactsame exponents on those variables!!! Ex. 1 Find (3x2 – 4x + 8) + (2x – 7x2 – 5). (3x2 – 4x + 8) + (2x – 7x2 – 5) 3x2 – 4x + 8 + 2x – 7x2 – 5 3x2 – 7x2 – 4x + 2x + 8 – 5

  18. “Combining Like Terms” - ??? - Only if haveexactsame variables with exactsame exponents on those variables!!! Ex. 1 Find (3x2 – 4x + 8) + (2x – 7x2 – 5). (3x2 – 4x + 8) + (2x – 7x2 – 5) 3x2 – 4x + 8 + 2x – 7x2 – 5 3x2 – 7x2 – 4x + 2x + 8 – 5 – 4x2 – 2x + 3

  19. Ex. 2 Find (3n2 + 13n3 + 5n) – (7n + 4n3).

  20. Ex. 2 Find (3n2 + 13n3 + 5n) – (7n + 4n3).

  21. Ex. 2 Find (3n2 + 13n3 + 5n) – (7n + 4n3). 3n2 + 13n3 + 5n–7n

  22. Ex. 2 Find (3n2 + 13n3 + 5n) – (7n + 4n3). 3n2 + 13n3 + 5n– 7n– 4n3

  23. Ex. 2 Find (3n2 + 13n3 + 5n) – (7n + 4n3). 3n2 + 13n3 + 5n– 7n– 4n3

  24. Ex. 2 Find (3n2 + 13n3 + 5n) – (7n + 4n3). 3n2 + 13n3 + 5n– 7n– 4n3 13n3 – 4n3 + 3n2 + 5n – 7n

  25. Ex. 2 Find (3n2 + 13n3 + 5n) – (7n + 4n3). 3n2 + 13n3 + 5n– 7n– 4n3 13n3 – 4n3 + 3n2 + 5n – 7n 9n3 + 3n2 – 2n

  26. Ex. 2 Find (3n2 + 13n3 + 5n) – (7n + 4n3). 3n2 + 13n3 + 5n– 7n– 4n3 13n3 – 4n3 + 3n2 + 5n – 7n 9n3 + 3n2 – 2n Ex. 3 From 1990 through 1999, the female population F and the male population M of the United States (in thousands) are modeled by the following equations, where n is the number of years since 1990. F = 1247n + 126,971 M = 1252n + 120,741

  27. a. Find an equation that models the total population T in thousands of the United States for this time period.

  28. a. Find an equation that models the total population T in thousands of the United States for this time period. T = female + male

  29. a. Find an equation that models the total population T in thousands of the United States for this time period. T = female + male T = F + M

  30. a. Find an equation that models the total population T in thousands of the United States for this time period. T = female + male T = F + M

  31. a. Find an equation that models the total population T in thousands of the United States for this time period. T = female + male T = F + M T = (1247n + 126,971)

  32. a. Find an equation that models the total population T in thousands of the United States for this time period. T = female + male T = F + M T = (1247n + 126,971)

  33. a. Find an equation that models the total population T in thousands of the United States for this time period. T = female + male T = F + M T = (1247n + 126,971)+(1252n + 120,741)

  34. a. Find an equation that models the total population T in thousands of the United States for this time period. T = female + male T = F + M T = (1247n + 126,971)+(1252n + 120,741) T = 1247n + 126,971 + 1252n + 120,741

  35. a. Find an equation that models the total population T in thousands of the United States for this time period. T = female + male T = F + M T = (1247n + 126,971)+(1252n + 120,741) T = 1247n + 126,971 + 1252n + 120,741 T = 1247n + 1252n + 126,971 + 120,741

  36. a. Find an equation that models the total population T in thousands of the United States for this time period. T = female + male T = F + M T = (1247n + 126,971)+(1252n + 120,741) T = 1247n + 126,971 + 1252n + 120,741 T = 1247n + 1252n + 126,971 + 120,741 T = 2499n + 247,712

  37. a. Find an equation that models the total population T in thousands of the United States for this time period. T = female + male T = F + M T = (1247n + 126,971)+(1252n + 120,741) T = 1247n + 126,971 + 1252n + 120,741 T = 1247n + 1252n + 126,971 + 120,741 T = 2499n + 247,712 b. If this trend continues, what will the population of the United States Be in 2010?

  38. a. Find an equation that models the total population T in thousands of the United States for this time period. T = female + male T = F + M T = (1247n + 126,971)+(1252n + 120,741) T = 1247n + 126,971 + 1252n + 120,741 T = 1247n + 1252n + 126,971 + 120,741 T = 2499n + 247,712 b. If this trend continues, what will the population of the United States Be in 2010? T = 2499n + 247,712

  39. a. Find an equation that models the total population T in thousands of the United States for this time period. T = female + male T = F + M T = (1247n + 126,971)+(1252n + 120,741) T = 1247n + 126,971 + 1252n + 120,741 T = 1247n + 1252n + 126,971 + 120,741 T = 2499n + 247,712 b. If this trend continues, what will the population of the United States Be in 2010? T = 2499n + 247,712 n = 2010 – 1990 = 20

  40. a. Find an equation that models the total population T in thousands of the United States for this time period. T = female + male T = F + M T = (1247n + 126,971)+(1252n + 120,741) T = 1247n + 126,971 + 1252n + 120,741 T = 1247n + 1252n + 126,971 + 120,741 T = 2499n + 247,712 b. If this trend continues, what will the population of the United States Be in 2010? T = 2499n + 247,712 n = 2010 – 1990 = 20 T = 2499(20) + 247,712

  41. a. Find an equation that models the total population T in thousands of the United States for this time period. T = female + male T = F + M T = (1247n + 126,971)+(1252n + 120,741) T = 1247n + 126,971 + 1252n + 120,741 T = 1247n + 1252n + 126,971 + 120,741 T = 2499n + 247,712 b. If this trend continues, what will the population of the United States Be in 2010? T = 2499n + 247,712 n = 2010 – 1990 = 20 T = 2499(20) + 247,712 T = 297,692

  42. a. Find an equation that models the total population T in thousands of the United States for this time period. T = female + male T = F + M T = (1247n + 126,971)+(1252n + 120,741) T = 1247n + 126,971 + 1252n + 120,741 T = 1247n + 1252n + 126,971 + 120,741 T = 2499n + 247,712 b. If this trend continues, what will the population of the United States Be in 2010? T = 2499n + 247,712 n = 2010 – 1990 = 20 T = 2499(20) + 247,712 T = 297,692 (thousand)

  43. a. Find an equation that models the total population T in thousands of the United States for this time period. T = female + male T = F + M T = (1247n + 126,971)+(1252n + 120,741) T = 1247n + 126,971 + 1252n + 120,741 T = 1247n + 1252n + 126,971 + 120,741 T = 2499n + 247,712 b. If this trend continues, what will the population of the United States Be in 2010? T = 2499n + 247,712 n = 2010 – 1990 = 20 T = 2499(20) + 247,712 T = 297,692 (thousand) T = 297,692,000

More Related