Trying to factor by splitting the middle term
Factoring x2+25x+3750
The first term is, x2 its coefficient is 1 .
The middle term is, +25x its coefficient is 25 .
The last term, "the constant", is +3750
Step-1 : Multiply the coefficient of the first term by the constant
1 • 3750 = 3750
Step-2 :
Find two factors of 3750 whose sum equals the coefficient of the middle term, which is 25 .
-3750 + -1 = -3751
-1875 + -2 = -1877
-1250 + -3 = -1253
-750 + -5 = -755
-625 + -6 = -631
-375 + -10 = -385
For tidiness, printing of 34 lines which ** to find two such factors, was suppressed
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
