1 / 17

Warm-Up

5 minutes. Warm-Up. Collect like terms and arrange in descending order. 1) 4x 3 + 6x 4 – 2x 4 + 8x. 2) 3x – 5x + 5 + 2x 0. 3) Evaluate 4x 3 + x 2 – 2 for x = 0 and x = 1. Addition / Subtraction of Polynomials. Objectives: To add polynomials To subtract polynomials. Example 1.

jgeneva
Télécharger la présentation

Warm-Up

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. 5 minutes Warm-Up Collect like terms and arrange in descending order. 1) 4x3 + 6x4 – 2x4 + 8x 2) 3x – 5x + 5 + 2x0 3) Evaluate 4x3 + x2 – 2 for x = 0 and x = 1

  2. Addition / Subtraction of Polynomials Objectives: To add polynomials To subtract polynomials

  3. Example 1 Add (5x2 + 3x + 4) + (3x2 + 5) = 8x2 + 3x + 9

  4. Example 2 Add (7x2y3 + xy) + (1 – 2x2y3) = 5x2y3 + xy + 1

  5. Practice Add. 1) (3x2 + 2x – 2) + (-2x2 + 5x + 5) 2) (31x4 + x2 + 2x – 1) + (-7x4 + 5x3 – 2x + 2) 3) (4a2b – 5a + 3) + (-2a2b – 2a – 4)

  6. Example 3 Add. (2x4 – 5x2 + 4x + 5) + (5x4 + 7x3 – 2x2 – 2x) 2x4 + 0x3 – 5x2 + 4x + 5 5x4 + 7x3 – 2x2 – 2x + 0 7x4 + 7x3 – 7x2 + 2x + 5

  7. Example 4 Add. (-3x4y3 + 6x3y3 – 6x2 + 5xy5 + 1) + (5x5 – 3x3y3 – 5xy5) -3x4y3 + 6x3y3 – 6x2 + 5xy5 + 1 5x5 - 3x3y3 - 5xy5 5x5 – 3x4y3 + 3x3y3 – 6x2 + 1

  8. Practice Add. 1) (-2m3 – 5m2 – 2m – 4) + (m4 – 6m2 + 7m – 10) 2) (-3x4y3 – 5xy + 2) + (x4y3 + x2 + 2xy + 5)

  9. Subtraction of Polynomials Objectives: To subtract polynomials

  10. Example 1 Subtract. (5x2 + 3x - 2) - (2x2 + 1) = 5x2 + 3x - 2 - 2x2 - 1 = 3x2 + 3x - 3

  11. Example 2 Subtract. (2x2y2 + 3xy3 – 4y4) - (x2y2 – 5xy3 + 3y – 2y4) = 2x2y2 + 3xy3 – 4y4 - x2y2 + 5xy3 – 3y + 2y4 = x2y2 + 8xy3 – 2y4 – 3y

  12. Practice Subtract. 1) (5x4 + 4) – (2x2 – 1) 2) (-7m3 + 2m + 4) – (-2m3 – 4) 3) (-3a2b4 + 5ab - 4) - (-4a3 + 11a2b4 – 2a - 6)

  13. Example 3 Subtract. (8x3 + 6x2 – 3x + 5) – (5x3 – 3x2 + 2x – 4) 8x3 + 6x2 – 3x + 5 -5x3 + 3x2 - 2x + 4 3x3 – 9x2 - 5x + 9

  14. Example 4 Subtract. (2a4b + 5a3b2 – 4a2b3) – (4a4b + 2a3b2 – 4ab) 2a4b + 5a3b2 – 4a2b3 -4a4b - 2a3b2 + 4ab -2a4b + 3a3b2 – 4a2b3 + 4ab

  15. Practice Subtract. 1) (-2m3 – 5m2 – 2m – 4) - (m4 – 6m2 + 7m – 10) 2) (-3x4y3 – 5xy + 2) - (x4y3 + x2 + 2xy + 5)

  16. RULE! • In order to add or subtract, you must have …. • The same BASE and the same EXPOENNT!

  17. Example • You can add 3x2 + 2x2 together • You CAN NOT add 3x3 + 2x2 together!

More Related