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

The quotient of the expression will be (x² - 2x + 3).

Step-by-step explanation:

The given expression is (x³ - 3x² + 5x - 3) ÷ (x - 1)

Now we will use the synthetic division method to solve this question.

We will note down the coefficient of the expression as below

                         x³               x²            x               constant

                         1               (-3)            5                   -3

                 1       1       (1×1-3)=(-2)   [1×(-2)+5]=3     (1×3-3)=0

Therefore (x -1) is a perfect zero factor.

Now we can easily say that coefficient of the expression is [1.x² + (-2)x + (3)]

and remainder is 0.

Or in more simplified way coefficient of the expression will be

(x² -2x + 3).

13cm

step-by-step explanation:

(apex)