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)

Respuesta :

caylus
Hello,

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

Answer D

Answer:

answer is option: D

Step-by-step explanation:

We are given the expression: [tex]q^3-q^2+2q-2[/tex]

the expression could also be written as:

[tex]q^3-q^2+2q-2=q^2(q-1)+2(q-1)=(q-1)(q^2+2)[/tex]

Hence [tex](q-1)(q^2+2)[/tex] are the factors of [tex]q^3-q^2+2q-2[/tex].

Hence, option D is correct.