AlissaVon
Answered

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)

Verified Answer :

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: \(q^3-q^2+2q-2\)

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.




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