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Do Now Simplify.. Polynomials A polynomial is a sum of monomials. Common polynomials: A binomial is a sum of two monomials. A trinomial is a sum of three.

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Presentation on theme: "Do Now Simplify.. Polynomials A polynomial is a sum of monomials. Common polynomials: A binomial is a sum of two monomials. A trinomial is a sum of three."— Presentation transcript:

1 Do Now Simplify.

2 Polynomials A polynomial is a sum of monomials. Common polynomials: A binomial is a sum of two monomials. A trinomial is a sum of three monomials.

3 Standard Form The terms of a polynomial are usually written so that the powers of the variable are in descending form. (the powers go from greatest to least) Ex.Write 7x 2 – 11 + 2x 4 in standard form. 2x 4 + 7x 2 – 11

4 Rewrite each polynomial so that the powers of x are in descending form. 1)6x 2 + 5 – 8x – 2x 3 2)2xy 3 + y 2 + 5x 3 – 3x 2 y

5 Adding & Subtracting Polynomials To add or subtract polynomials, 1)Align The Like Terms 2)Add/Subtract The Like Terms *Subtracting is the same as adding the opposite!! ** When adding or subtracting, EXPONENTS STAY THE SAME!!

6 Line up your like terms. 9y – 7x + 15a +-3y + 8x – 8a _________________________ 1. Add the following polynomials (9y – 7x + 15a) + (-3y + 8x – 8a) 6y+ x+ 7a

7 3a 2 + 3ab – b 2 + 4ab + 6b 2 _________________________ 2. Add the following polynomials (3a 2 + 3ab – b 2 ) + (4ab + 6b 2 ) 3a 2 + 7ab+ 5b 2

8 Line up your like terms. 4x 2 – 2xy + 3y 2 +-3x 2 – xy + 2y 2 _________________________ x 2 - 3xy + 5y 2 3. Add the following polynomials (4x 2 – 2xy + 3y 2 ) + (-3x 2 – xy + 2y 2 )

9 Line up your like terms and add the opposite. 9y – 7x + 15a + (+ 3y – 8x + 8a) -------------------------------------- 4. Subtract the following polynomials (9y – 7x + 15a) – (-3y +8x – 8a) 12y– 15x+ 23a

10 7a – 10b + (– 3a – 4b) -------------------------------------- 5. Subtract the following polynomials (7a – 10b) – (3a + 4b) 4a– 14b

11 4x 2 – 2xy + 3y 2 + (+ 3x 2 + xy – 2y 2 ) -------------------------------------- 7x 2 – xy + y 2 6. Subtract the following polynomials (4x 2 – 2xy + 3y 2 ) – (-3x 2 – xy + 2y 2 )

12 From Comes First!!!! 7. Subtract (2x 2 – 5a 2 + 7x) from (5x 2 + 3a 2 – 5x). (5x 2 + 3a 2 – 5x) – (2x 2 – 5a 2 + 7x) The polynomial after FROM goes first!!!! 5x 2 + 3a 2 – 5x + (- 2x 2 + 5a 2 – 7x) -------------------------------------- 3x 2 + 8a 2 – 12x

13 8. Subtract (5x 2 – 4) from (3x 2 + 8x + 4). (3x 2 + 8x + 4) – (5x 2 – 4) 3x 2 + 8x + 4 + (- 5x 2 + 4) -------------------------------------- -2x 2 + 8x + 8

14 Find the sum or difference. (5a – 3b) + (2a + 6b) 1.3a – 9b 2.3a + 3b 3.7a + 3b 4.7a – 3b

15 Find the sum or difference. (5a – 3b) – (2a + 6b) 1.3a – 9b 2.3a + 3b 3.7a + 3b 4.7a – 9b

16 Homework Chapter 8 Packet: pg. 474 #’s 10 – 20 evens pg. 481 multiples of 3 * Lab Packets Due Next Lab

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