Answer:
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).
