Question

What is the quotient of (x3 – 3x2 + 5x – 3) ÷ (x – 1)?

Answer 1

The quotient of (x³ - 3x² + 5x - 3) ÷ (x - 1) is x² + 2x + 3 with a remainder of 4.

Step-by-step explanation:

To find the quotient of (x³ - 3x² + 5x - 3) ÷ (x - 1), we can use polynomial long division:

x² + 2x + 3

x - 1 | x³ - 3x² + 5x - 3

- (x³ - x²)

______

-2x² + 5x

+ (2x² - 2x)

________

7x - 3

+ (7x - 7)

________

4

The quotient is x² + 2x + 3 with a remainder of 4.

Answer 2

x²-2x+3

Step-by-step explanation:

you have to apply the Eucledian division of polynomials

(x^3-3x²+5x-3 ) / (x-1) = x²-2x+3