Answer:
See below for answers.
Step-by-step explanation:
I assume you're looking for the factors? In that case, we list all of the factors of 3 and synthetically divide by each one.
Factors of 3: +1,-1,+3,-3
1 | 1 -1 3
1 0
______
1 0 3
This means x with a remainder of 3 so that's not it.
-1 | 1 -1 3
-1 2
_______
1 -2 5
This means x-2 remainder 5 so that's not it
3 | 1 -1 3
3 6
______
1 2 9
This means x+2 remainder 9 so that's not it
-3 | 1 -1 3
-3 12
_______
1 -4 15
This means x-4 remainder 15 so that's not it
Therefore, 2x^2-x+3 cannot be factored and must be solved with the quadratic formula. x must either be 1+sqrt(23)i/4 or 1-sqrt(23)i/4 when solved.
