Question

Which of the following are the factors of q3 – q2 + 2q – 2?

A. (q – 1)(2 – q)
B. (q + 1)(q2 + 2)
C. (q – 1)(2 – q2)
D. (q – 1)(q2 + 2)

Answer 1

Hello,

q^3-q^2+2q-2=q²(q-1)+2(q-1)=(q-1)(q²+2)

Answer D

Answer 2

answer is option: D

Explanation:

We are given the expression:
`q^3-q^2+2q-2`

the expression could also be written as:

`q^3-q^2+2q-2=q^2(q-1)+2(q-1)=(q-1)(q^2+2)`

Hence
`(q-1)(q^2+2)` are the factors of
`q^3-q^2+2q-2`.

Hence, option D is correct.