Subtract the second expression from the first. (3x^2+2x-1) - (x^2-3x+4)

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((3x2 +  2x) -  1) -  (x2 - 3x + 4)

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  2x2+5x-5

The first term is,  2x2  its coefficient is  2 .

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

The last term, "the constant", is  -5

Step-1 : Multiply the coefficient of the first term by the constant   2 • -5 = -10

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   5 .

     -10     +    1     =    -9  

     -5     +    2     =    -3  

     -2     +    5     =    3  

     -1     +    10     =    9  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 2x2 + 5x - 5

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