Question

What is the simplified form of (3s^2-2s+1)/(s^2-s+2)?

a. 3s+1
b. 3s+7
c. 3+s-5/s^2-s-2
d. 3+ s+7/s^2-s-2

Answer 1

`C\: or\: 3+(s-5)/(s^2-s+2)`

Explanation:

`(\left(3s^2-2s+1\right))/(\left(s^2-s+2\right))`

`(\left(3s^2-2s+1\right))/(\left(s^2-s+2\right)):`
`(\left(3s^2-2s+1\right))/(\left(s^2-s+2\right))=3+1(s-5)/(s^(2)-s+2 )`

`=3+(s-5)/(s^2-s+2)`