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Try to understand this. Hope this help. Answer for 2 only.
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2. Factors of x^2 - 5x + 6 are (x-2)(x-3) so the answer would be 2) (x-2)
4. Factors of x^2 + x - 20.  First find the factors of 20.  1, 20; 2, 10, 4, 5.  Then find which factors would equal "b" in the equation or in this instance "1".  This would be 4 & 5.  Since "c" is a negative 20, one of the factors will be a negative.  So, the factors of this trinomial are (x-4)(x+5).  
6.  Factors of n^2 + 3n - 54.  First find the factors of 54.  1, 54; 2, 27; 3, 18; 6, 9.  Then find which of these factors would equal 3.  This would be 6, 9.  Since 54 is negative, and 3 is positive, the larger of the two factors will be the positive # and the smaller will be the negative #.  So, the factors of this trinomial are (x-6)(x+9).