1.

x2+25x+3750=0

Answer»

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 failed to find two such factors, was suppressed 

Observation : No two such factors can be found !! 

Conclusion : Trinomial can not be factored



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