Final answer:
To find the common denominator, split the numerator into separate terms and write each term with the denominator
Step-by-step explanation:
To find the common denominator of a fraction, we need to express the fraction as the sum or difference of fractions with the same denominator. In this case, the fraction is (6x⁴+7x²-6x-3)/(2x). To write it as the sum or difference of fractions, we can split the numerator into separate terms and write each term with the denominator:
- 6x⁴/2x
- + 7x²/2x
- - 6x/2x
- - 3/2x
Simplifying each term, we get:
Therefore, we can write the fraction as (3x³ + 3.5x - 3 - 1.5/x)/(2x).