Question

Do middle term spilting of x^2+5x-3000=0​

Answer 1

The first term is,  x2  its coefficient is  1 .

The middle term is,  +5x  its coefficient is  5 .

The last term, "the constant", is  -3000  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3000 = -3000  

Step-2 : Find two factors of  -3000  whose sum equals the coefficient of the middle term, which is   5 .

     -3000    +    1    =    -2999  

     -1500    +    2    =    -1498  

     -1000    +    3    =    -997  

     -750    +    4    =    -746  

     -600    +    5    =    -595  

     -500    +    6    =    -494  

For tidiness, printing of 26 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!  

Conclusion : Trinomial can not be factored