Question

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

x2 - 2x - 3
x2 + 2x + 7
x2-3x + 8
x2 - 2x + 3

Answer 1

D

Explanation:

Answer 2

Note: Consider "÷" sign instead of "=".

Given:

`(x^3-3x^2+5x-3)/ (x-1)`

To find:

The quotient.

Solution:

We have,

`(x^3-3x^2+5x-3)/ (x-1)`

It can be written as

`=(x^3-3x^2+5x-3)/(x-1)`

Splitting the middle terms, we get

`=(x^3-x^2-2x^2+2x+3x-3)/(x-1)`

`=(x^2(x-1)-2x(x-1)+3(x-1))/(x-1)`

Taking out the common factor (x-1), we get

`=((x-1)(x^2-2x+3))/(x-1)`

Cancel the common factors.

`=x^2-2x+3`

The quotient is
`x^2-2x+3`.

Therefore, the correct option is D.