Question

Algebra 1 what's the simplified form of (3s^2-2s+1)/(s^2-s+2)

Answer 1

Answer:

Step by Step Solution

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STEP

1

:

Equation at the end of step 1

 

STEP

2

:

           3s2 - 2s + 1

Simplify   ————————————

            s2 - s + 2

Trying to factor by splitting the middle term

2.1     Factoring  3s2 - 2s + 1

The first term is,  3s2  its coefficient is  3 .

The middle term is,  -2s  its coefficient is  -2 .

The last term, "the constant", is  +1

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

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

     -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