Final answer:
When the polynomial 2x3 - 15x2 - x is divided by 2x, each term is individually divided by 2x, resulting in x2 - 7.5x - 0.5.
Step-by-step explanation:
The division of the polynomial 2x3 − 15x2 − x by 2x is a process of simplifying the expression by eliminating a common factor. To perform this division, each term in the polynomial is divided by 2x.
Divide the first term: (2x3/2x) = x2
Divide the second term: (−15x2/2x) = −7.5x
Divide the third term: (−x/2x) = −0.5
So, the result when 2x3 − 15x2 − x is divided by 2x is x2 − 7.5x − 0.5.