Answer:
A.
Explanation:
You want to know the quotient from the division (-x² +3x)/x.
Signs
The divisor is positive (+x, blue), so the signs of the quotient terms will match the signs of the dividend terms. You have a red and 3 blues in the dividend, so the answer will have a red and 3 blues.
This eliminates all but choice A.
The quotient is ...
A. -x +3
Terms
You can also figure the quotient term by term:
-x²/x = -x
x/x = 1 . . . . repeated 3 times
The quotient is -x +1 +1 +1. This matches choice A.
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