To factor: the given polynomial
Answer to Problem 15WE
The factors of
Explanation of Solution
Given information:
Calculations: We have given a quadratic
Arrange the given quadratic in standard form
Now, we need to compare given quadratic with standard quadratic
On comparing given quadratic
Product of value of a and c =
Value of
Now, we need to get two factors of 42 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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