1 / 33

Unit 4 - Polynomials

Unit 4 - Polynomials. a. a. a. a. -p 2. -p 2. Reminder – the coefficient means “how many of them there are”. c. c. m 2. m 2. m. m. m. h 2. h 2. h. h. h. h. h. h. m. m. m. m. m. x 2. x 2. r. r. r. r. r. x 2. r 2. r 2. x. x. x. x. x. m 2. m 2. r 2. m 2.

eric-hull
Download Presentation

Unit 4 - 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. Unit 4 - Polynomials

  2. a a a a -p2 -p2 Reminder – the coefficient means “how many of them there are”.

  3. c c m2 m2 m m m

  4. h2 h2 h h h h h h

  5. m m m m m x2 x2 r r r r r x2 r2 r2 x x x x x m2 m2 r2 m2

  6. -w2 -w2 x2 x2 -w2 w w w w x x x x x

  7. a a a a a b2 b2 -x2 -x2 b Monomial because there is only one kind of term Binomial – 2 different terms Trinomial – three different terms

  8. 2x2 – 8x + 2 – 4x + 6 2x2 – 8x + 2

  9. -2q2 +5q - 2 q - 8 2q2 – 8q + 3

  10. Class Work • P. 214 #4-7, 9-17

  11. Algebra Tile Exercise • Find a partner and a bag of algebra tiles. • Without looking, take out some algebra tiles and place them flat on your desk. • Each partner will write down an expression to represent the tiles. Check your answer with your partner. • Each partner will then simplify your expression by collecting like terms. Check. • 12 minutes.

  12. Collecting Like Terms

  13. Terms • Variables– letters that represent unknown numbers. (a,b,x) • Coefficients – are numbers in front of the variables. (4a, 2b, 200x) • Terms – are made up of variables and coefficients. (4a, 2b, 200x)

  14. Like Terms • Terms with identicalvariables and exponentsare like terms. EXAMPLE: • y, 3y, -2y are like terms • 2x, 2g, 2k are not like terms • Basically the variable and exponent has to be the same.

  15. Like Terms • Also the variable needs to be to the same exponentto be like terms. Example: • y2, -2y2, 45y2 are like terms • y, -20y2, 5y3 are not like terms • The exponent has to be the same number.

  16. Try These • Which are like terms? Why? 5b, 3g, -2g, 2g2, 5g, ½g, -g

  17. Solution: • Which are like terms? Why? • 5b, 3g, -2g, 2g2, 5g, ½g, -g • Yellow –like terms. ( they all have the same variable and the same exponent) • White – not like terms.

  18. Combining Like Terms • x + x + x + x + x • There are five variables which are like terms therefore we simply add them like we would if they were numbers. • x + x + x + x + x = 5x

  19. Combining Like Terms Example 1 4t + 3t + t = 8t

  20. Combining Like Terms • Rearrange the variables so that all like terms are side by side. • Example 2 2t2 + 8 – 5t2 = 2t2 – 5t2+ 8(notice that the –negative stayed with –5t2 ) = -3t2+ 8

  21. Combining Like Terms • Example 3 2t + 3t2 – 2t –t2 = 3t2 – t2+ 2t – 2t (collecting like terms) = 2t2+ 0 = 2t2

  22. Combining like terms 3ab + 4a – 3b + 4ab – 7a + 2b = 3ab+ 4a– 3b+ 4ab– 7a+ 2b = 3ab + 4ab+ 4a – 7a– 3b + 2b = 7ab-3a– b • Finished the question because none of the variables are the same.

  23. Class Work • P. 222 #4-15

  24. Class work • Worksheet

More Related