Question

Subtract.(3x²+7) - (3x - 2)​

Answer 1

Answer:

3 • (x2 - x + 3)

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (3x2 +  7) -  (3x - 2)

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  3x2 - 3x + 9  =   3 • (x2 - x + 3)

Trying to factor by splitting the middle term

3.2     Factoring  x2 - x + 3

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  +3

Step-1 : Multiply the coefficient of the first term by the constant   1 • 3 = 3

Step-2 : Find two factors of  3  whose sum equals the coefficient of the middle term, which is   -1 .

     -3    +    -1    =    -4

     -1    +    -3    =    -4

     1    +    3    =    4

     3    +    1    =    4

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 3 • (x2 - x + 3)

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