Question

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

Answer 1

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