Example(1) x^2+10x+24
The coefficients are a=1,b=10,c=24
Find pair of factors whose product is a*c=1 * 24=24 and sum is b=10
The pairs of factors for 24 and their sums are 1,24 : 1+24=25
2,12 : 2+12=14
3,8 : 3+8=11
4,6 : 4+6=10
Factors are 4,6 whose product is 4 * 6=24 and sum is 4+6=10
So use 4 and 6 to split the 10 coefficient on the middle term
=x^2+4x+6x+24
=x(x+4)+6(x+4)
=(x+4)(x+6)
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