Question 209410
x^2 -7x -60
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The  sign  of  the  last  term, (-), indicates  that  the factors will  have  different  signs, and  be a  difference.
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The  sign  of  the  second  term,,(-),  indicates that  the  largest  factor  will  be  negative,(-)
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Factors  of  the  first  term  are  just,  1*1
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Factors  of  the  last  term  are,  1*60, 2*30,,3*20, 4*15, 5*12,  6*10,  
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Since  we  need  a  difference  of  7 (middle  term),  let's  try,,5*12
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(x-12)(x+5)
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Check,  by  FOIL,,  x^2 +5x-12x -60,,,x^2 -7x -60,,,,ok