A Letter to My Algebra 37 Class

You will need to be responsible for the following notes before I leave on Wednesday so that you may successfully do the assignments that are given to you while I am away at my conference. 
I promise you we will spend time on the graphic calculator when I return.
It is up to you to take this learning experience seriously and not take answers from the back of the book. You should work through every example yourself because you have to take the quiz that way.

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Section 9.1 - Operations with Polynomials

  	Adding and Subracting Polynomials
		Add the coefficients of like terms. Ex: 8x2 + 2x2 = 10x2
		Subtract the coefficients of like terms. Ex: 8x2 - 2x2 = 6x2
  	Multiplying Polynomials
		monomial x monomial - coefficient x coefficient; variable x variable 
			Ex: (8xy2)(5x4y4) = 40x5y6
		monomial x polynomial - distribute the monomial to each term in the polynomial
			EX: 3x2y3 (2x2y + 3xy - 7) = 6x4y4 + 9x3y4 - 21x2y3
		binomial x binomial - FOIL EX: (x+7)(x+2) = x2 + 9x + 14
		binomial x trinomial - distribute each term in the binomial and add like terms
			EX: (x+2)(x2 + 3x + 4) multiply first term : x3 +3x2 +4x
			multiply second term: 2x2 +6x + 8
			add like terms : x3 + 5x2 10x + 8
	Common patterns -	(a + b)(a - b) = a2 - b2	  		this is a difference of squares
      [You must 			(a + b)2 = a2 + 2ab + b2			this is a binomial squared 
      memorize these		(a - b)2 = a2 - 2ab + b2			this is a binomial squared
      patterns]			(a + b)3 = a3 + 3a2b + 3ab2 + b3	this is a binomial cubed
				(a  - b)3 = a3 - 3a2b + 3ab2 - b3		this is a binomial cubed

Section 9.4 - Division of Polynomials
	Topics you must master: 
		(The book does a good job, better than I can here, explaining these topics)
					Long Division
					Synthetic Division
					Remainder Theorem
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Assignments for March 10 - 12 due March 15th:

	Page 460 - 461 numbers 1 - 59 odd
	Page 484 - 485 numbers 1 - 35 odd