Subtract:

2x2 - 4x - 3 from x2 - 5x - 8

x2 - 9x - 11

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 2x2 -  4x) -  3) -  x2) -  5x) -  8

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  x2-9x-11

The first term is,  x2  its coefficient is  1 .

The middle term is,  -9x  its coefficient is  -9 .

The last term, "the constant", is  -11

Step-1 : Multiply the coefficient of the first term by the constant   1 • -11 = -11

Step-2 : Find two factors of  -11  whose sum equals the coefficient of the middle term, which is   -9 .

     -11    +    1    =    -10

     -1    +    11    =    10

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 x2 - 9x - 11

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