To factor the below expression completely:
Answer to Problem 7OE
Explanation of Solution
Given:
Concept Used:
To factor a polynomial completely:
- First take out the greatest monomial.
- 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 common factor in each term, i.e.
Now, the second 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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