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2x²-x+3

whats the answer

1 Answer

2 votes

Answer:

See below for answers.

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.

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