Final answer:
The original polynomial is found by multiplying the quotient (2b² - 3b) by the divisor (2b³ + 7b² - 15b), assuming there's a typo in the divisor and it should include a 'b' in the last term.
Step-by-step explanation:
To find the polynomial that when divided by 2b³ + 7b² - 15 yields 2b² - 3b, we would normally perform polynomial division. However, since the divisor is written with a typo and should likely be in the form of 2b³ + 7b² - 15b to yield a polynomial quotient, we should correct this first. Assuming this correction, we multiply the quotient by the divisor:
- Divisor: 2b³ + 7b² - 15b
- Quotient: 2b² - 3b
- Product (polynomial we are seeking): (2b³ + 7b² - 15b) * (2b² - 3b)
Although the polynomial division is not shown here, knowing the quotient and divisor allows determining the original polynomial directly through multiplication.