Question

(3x³-x²+2x-5) ÷ (x-1) Which of the following is the quotient and the remainder

a) Quotient: 3x²+2x+4, Remainder: −1
b) Quotient: 3x²+2x+1, Remainder: −4

Answer 1

The quotient is 3x² + 2x + 4 and the remainder is -1.

Step-by-step explanation:

To divide (3x³-x²+2x-5) by (x-1), we can use polynomial long division:

3x² + 2x + 4
------------------
x - 1 | 3x³ - x² + 2x - 5
- (3x³ - 3x²)
----------
2x² + 2x
- (2x² - 2x)
----------
4x - 5
- (4x - 4)
----------
-1

Therefore, the quotient is 3x² + 2x + 4 and the remainder is -1.