Factor the given expression
Answer to Problem 48WE
Explanation of Solution
Given information:
Calculations: Apply some substitutions to factor the given quadratic.
Let us take
So,
On substitution
Now, we need to compare above quadratic with standard quadratic
We need to get the values of a, b and c and apply the product sum rule to factor the quadratic.
On comparing given quadratic
Product of value of a and c =
Value of
Now, we need to get two factors of 15 those add upto
We could see
So, split middle term
Now, making it into two groups and factor out Greatest Common Factor (GCF) of each group
Factor out Greatest Common Factor (GCF)
Factor out the common parenthesis
Now, substitute back
Therefore,
Therefore, the factors of given expression is
Chapter 5 Solutions
Algebra: Structure And Method, Book 1
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