Answer:
The quotient is 2x² - 5x + 5, while the remainder is 0
Step-by-step explanation:
Given polynomial function;
4x³-12x²+15x-5 and a factor of 2x - 1
The quotient and remainder of the polynomial is calculated using the long division method;
2x² - 5x + 5
------------------------
2x - 1 √ 4x³-12x²+15x-5
- (4x³ - 2x²)
----------------------------
-10x² + 15x - 5
- ( -10x² + 5x)
--------------------------------
10x - 5
- (10x - 5)
-----------------------------------------
0
Therefore, the quotient is 2x² - 5x + 5, while the remainder is 0.
