Final answer:
To express (2x³ - 6x - 7) / (x²) as a sum or difference of fractions, divide each term in the numerator by the denominator individually, resulting in the expression 2x - 6/x - 7/(x²).
Step-by-step explanation:
To correct the denominator and write the fraction as the sum (or difference) of fractions for the expression (2x³ - 6x - 7) / (x²), we need to divide each term in the numerator by the denominator separately. This is done by applying the division of exponentials which states that the powers are subtracted when dividing like bases. The correct form of the expression would be:
- 2x³ / x² = 2x
- -6x / x² = -6/x
- -7 / x²
Thus, the fraction is expressed as 2x - 6/x - 7/(x²).