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Concept explainers
To factor the below expression completely:
![Check Mark](/static/check-mark.png)
Answer to Problem 3WE
Explanation of Solution
Given:
Concept Used:
To factor a polynomial completely:
- Factor out the greatest monomial factor first.
- Look for a difference of squares and a perfect square trinomial.
- If a trinomial is not a square, look for a pair of binomial factors.
- Make sure that each binomial or trinomial factor is prime.
Calculation:
To factor the expression:
First, factor out the greatest monomial factor that is
Now, the second factor,
Take common factor
Now, note that each factors
Thus, factor of given polynomial is:
Chapter 5 Solutions
Algebra: Structure And Method, Book 1
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