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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Which of the following are the factors of q3 - q2 + 2q - 2?
(q - 1)(2 - q)
(q + 1)(q2 + 2)
(q - 1)(2 - q2)
(q - 1)(q2 + 2)
Solution:
Given, q3 - q2 + 2q - 2
We have to find the factors of the given polynomial.
Factoring polynomials is done in many ways. Let us try taking the common terms out of the first two terms and the last two terms.
q3 - q2 + 2q - 2 = q2(q - 1) + 2(q - 1)
= (q2 + 2)(q - 1)
Therefore, (q2 + 2)(q - 1) are the factors of q3 - q2 + 2q - 2.
Example:
Which of the following are the factors of q4 - q3 + 2q2 - 2q?
Solution:
Given, q4 - q3 + 2q2 - 2q
We have to find the factors of the given expression.
q4 - q3 + 2q2 - 2q = q3(q - 1) + 2q(q - 1)
= (q3 + 2)(q - 1)
Therefore, (q3 + 2)(q - 1) are the factors of q4 - q3 + 2q2 - 2q.
Which of the following are the factors of q3 - q2 + 2q - 2?
Summary:
The factors of q3 - q2 + 2q - 2 are (q2 + 2)(q - 1).
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