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Directions: Draw the quad card on your paper, but replace each definition with the vocabulary term that it matches. Rewriting an expression as the product of factors. Chapter 4.4 Vocabulary A trinomial that the square of a binomial The largest common number that will divide into a set of numbers evenly. 4x2 – 16 is an example of this special type of trinomial. Before you leave today, you should be able to: - find common and binomial factors of quadratic expressions. - Factor special quadratic expression. CCRS: 7 ax2+ bx+c ax2+ bx– c ax2 –bx –c ax2–bx +c Example Factor: x2 + 4x+3 x2 +2x -3 x2 -2x -3 x2 – 4x+3 ( )( ) ( )( ) ( )( ) ( )( ) A) x2 + 9x + 20 c) –x2 + 13x -12 B) x2 + 14x -72 a) x2 + 14x + 40 b) x2 -11x + 30 c) -x2 + 14x + 32 Remember: Greatest Common Factor (GCF) A) 6n2 + 9n B) 4x2 + 20x - 56 What is the expression in factored form? a) 7n2 -21 b) 9x2 + 9x – 18 c) 4x2 + 8x + 12 a) 2x 2 + 11x + 12 b) 4x2 – 4x -3 a) 4x2 + 7x + 3 b) 2x2 – 7x + 6 Factor 4x2 – 4x – 3 a2 + (2b)a + b2 a2 + 8a + 16 ( )( )=( )2 a2 – (2b)a + b2 a2 – 8a +16 ( )( )=( a2 – b 2 9x2 - 25 ( )( ) )2 A) 4x2 – 24x + 36 B) 64x2 – 16x + 1 a) What is 25x2 -49? b) What is 16x2 – 81? Explain in your own words how you would factor x2 + 3x +2. You should explain using at least three COMPLETE sentences including punctuation.