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1. The integers −6 and 5 have a sum of −1 and a product of −30. As such, they can be used to factor . Decompose the x-term into two terms, using the given integers.
   





2. Factor each of the following trinomials.
   
   
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      The expression «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«mi»x«/mi»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»)«/mo»«mo»+«/mo»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»)«/mo»«/math» can also be rewritten as «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»2«/mn»«mi»x«/mi»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»)«/mo»«mo»+«/mo»«mn mathcolor=¨#B94A48¨»1«/mn»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«mo»)«/mo»«/math». Be sure to remember this 1 when removing the common factor «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/math».

      
      
      
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3. Verify your work in part 2.