Day 3 Factoring Mixed Notes.notebook 1 January 31, 2018 Warm-Up 1/31/18 Factor the following: 1. 4x + 16 2. x 2 +14x+33
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Day 3 Factoring Mixed Notes.notebook
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Warm-Up 1/31/18Factor the following:1. 4x + 16
2. x2+14x+33
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3. 4x2 + 12x + 9
4. 3x2 - 10x + 8
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Opening: Factor GCF
Sometimes every term in a quadratic expression has a common factor (like if each term had an even coefficient, 2 will be a common factor). A polynomial is technically not completely factored unless the greatest common factor is also factored out. It is usually easier to factor out GCF first.
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Objectives 1/31/18• I can factor quadratic functions using GCF• I can factor quadratic functions with a = 1, a > 1, and difference of squares
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Turn in your home-work on factoring!
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Factoring Quadratic Expressionsax2+bx+c
To factor means to write an expression as the ______________ of two or more expressions.
A quadratic expression is an algebraic expression in which the greatest exponent is ____.
Numeric Algebraic
20 x2+9x+20
=(4)(5) =(x+4)(x+5)
Our goal when factoring is to similar to “undoing” the distributive property.
Review of Factoring 1/31/18
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Factor x2+bx+c (14)To factor x2+bx+c, you must find what two numbers multiply to cand add to b. If your two numbers are m and n, then x2 + bx + c = (x + m)(x + n).1.
2.
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3.
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Factor a2-b2 (5-9) Difference of Squares
To factor a2b2, a difference of squares, you just take the square roots of the terms. These are the terms of each factor. One factor has +, and the other factor has -. a2 - b2 = (a+b)(a-b)
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Post-It
Check!!!Factor the following difference of squares
4x2-16
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Post-It
Check!!!Factor the following difference of squares
9x2-100
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More Practice
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Factor ax2+bx+c
To factor ax2+bx+c, you must find what two numbers multiply to ac and add to b. Then draw the box and fill in with 1st and last term, then fill with m and n.
3.
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6.
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Closing: Exit Ticket 1/31/18
Factor using GCF, Big X, and X-Box Methods.
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2.
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