The quadratic expressions (of the type x^2+13x+42 ) can be factored by using the midterm break formula.
The midterm is factored in such a way that when those numbers are added the mid term is obtained and when multiplied the end term is obtained.
The factors of x^2+13x+42 are (x+7) (x+6)
In this expression x^2+13x+42 the midterm is factored to 6 and 7.
When 6 is added to 7 it gives 13 and when 6 is multiplied to 7 it gives 42.
Mathematically
x^2+13x+42
= x²+6x+7x+42
= x(x+6) +7(x+6) taking x and 7 as common
= (x+7) (x+6)
Hence
x^2+13x+42 = (x+7) (x+6)
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