To factor: the given polynomial
Answer to Problem 14WE
The factors of
Explanation of Solution
Given information:
Calculations: We have a quadratic
In order to factor the given quadratic we need to compare given quadratic with standard quadratic
Now, we need to get the values of a, b and c and apply product
On comparing given quadratic
Product of value of a and c =
Value of
Now, we need to get two factors of 72 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, let us check it’s factor by multiplying.
In order to multiply two factors of a quadratic, we could apply First Outer Inner Last (FOIL) method.
Therefore,
Simplify now, we get
Combine like terms
We got same polynomial as it was given.
Therefore, the factors of
Chapter 5 Solutions
Algebra: Structure And Method, Book 1
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