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8.1 Adding and Subtracting Polynomials

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1 8.1 Adding and Subtracting Polynomials
Objective: SWBAT add and subtract polynomials and classify polynomials by degree and terms.

2 Mini Quiz 9 For the following numbers: 14, 20, 18, 10, 18
Find the mean Find the median Find the mode

3 CAHSEE Review Part Whole Probability =

4 CAHSEE Review

5 Polynomials: -3x 2x2 – 8x4 -9x3 – 4x – 7x2 + 8 6 5x – 4x2 + 1

6 1. Raise your paper, if you have a linear expression.

7 2. Add polynomials 1 and 5 -4x2 + 2x + 1

8 3. Raise your paper, if you have a trinomial.
5x – 4x2 + 1

9 4. Add polynomials 2 and 3 -8x4 – 9x3 – 5x2 – 4x + 8

10 5. Raise your paper, if you have a cubic expression.
-9x3 – 4x – 7x2 + 8

11 6. Subtract polynomials 2 and 5
-8x4 + 6x2 – 5x – 1

12 7. Raise your paper, if you have a monomial.
-3x 6

13 8. Subtract polynomials 3 and 4
-9x3 – 7x2 – 4x + 2

14 9. Raise your paper, if you have a quadratic expression
5x – 4x2 + 1

15 10. Add polynomials 1 and 4 -3x + 6

16 11. Raise your paper, if you have a constant expression.
6

17 12. Subtract polynomials 3 and 3

18 13. Raise your paper, if you have a quartic expression
2x2 – 8x4

19 14. Add polynomials 1, 2, and 3 -8x4 – 9x3 – 5x2 – 7x + 8

20 15. Raise your paper, if you have a binomial.
2x2 – 8x4

21 16. Add polynomials 5 and 3, then subtract 4
-9x3 – 11x2 + x + 3

22 17. Raise your paper, if you have a polynomial.
-3x 2x2 – 8x4 -9x3 – 4x – 7x2 + 8 6 5x – 4x2 + 1

23 18. Subtract polynomials 2 and 4, and add 3
-8x4 – 9x3 – 5x2 – 4x + 2

24 19. Add polynomials 4 and 4, then subtract 5.
4x2 – 5x + 11

25 20. Subtract polynomials 5 and 2, then subtract polynomial 1
8x4 - 6x2 + 8x + 1

26 21. Add polynomials 2, 3, 4 and 5 -8x4 – 9x3 – 9x2 – 2x + 9

27 Can anybody tell me what kind of polynomial they have?
Example: 3x2 – 4x3 This is a cubic trinomial!

28 Wrap Up Classifying Polynomials
By Degree Constant (0) Linear (1) Quadratic (2) Cubic (3) Quartic (4) Adding Polynomials (combine like terms) Subtracting Polynomials HW: P #2-40 even Write DLUQ for notes - Number of Terms Monomial (1) Binomial (2) Trinomial (3) Polynomial (4+)


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