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Do Now

Do Now. Simplify. Polynomials. A poly nomial is a sum of monomials. Common polynomials: A bi nomial is a sum of two monomials. A tri nomial is a sum of three monomials. Standard Form.

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Do Now

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  1. Do Now Simplify.

  2. Polynomials Apolynomialis a sum of monomials. Common polynomials: Abinomialis a sum oftwomonomials. Atrinomialis a sum ofthreemonomials.

  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 7x2 – 11 + 2x4 in standard form. 2x4 + 7x2 – 11

  4. Rewrite each polynomial so that the powers of x are in descending form. • 6x2 + 5 – 8x – 2x3 2) 2xy3 + y2 + 5x3 – 3x2y

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

  7. 2. Add the following polynomials (3a2 + 3ab – b2) + (4ab + 6b2) 3a2 + 3ab – b2 + 4ab + 6b2 _________________________ 3a2 + 7ab + 5b2

  8. 3. Add the following polynomials (4x2 – 2xy + 3y2) + (-3x2 – xy + 2y2) Line up your like terms. 4x2 – 2xy + 3y2 + -3x2 – xy + 2y2 _________________________ x2 - 3xy + 5y2

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

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

  11. 6. Subtract the following polynomials (4x2 – 2xy + 3y2) – (-3x2 – xy + 2y2) 4x2 – 2xy + 3y2 + (+ 3x2+ xy – 2y2) -------------------------------------- 7x2 – xy + y2

  12. From Comes First!!!! 7. Subtract (2x2 – 5a2 + 7x) from (5x2 + 3a2 – 5x). (5x2 + 3a2 – 5x) – (2x2 – 5a2 + 7x) The polynomial after FROM goes first!!!! 5x2 + 3a2 – 5x + (-2x2+ 5a2– 7x) -------------------------------------- 3x2 + 8a2 – 12x

  13. 8. Subtract (5x2 – 4) from (3x2 + 8x + 4). (3x2 + 8x + 4) – (5x2 – 4) 3x2 + 8x + 4 + (-5x2+4) -------------------------------------- -2x2 + 8x + 8

  14. Find the sum or difference.(5a – 3b) + (2a + 6b) • 3a – 9b • 3a + 3b • 7a + 3b • 7a – 3b

  15. Find the sum or difference.(5a – 3b) – (2a + 6b) • 3a – 9b • 3a + 3b • 7a + 3b • 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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