|
2.07 Factoring by Grouping Basic Algebra: One Step at a Time. Pages 173 -176: 7, 11, 13, 14, 15, 17, 21, 22. Dr. Robert J. Rapalje Seminole State College of Florida Sanford, FL 32773
To see Section 2.07, with detailed explanations, examples, exercises, and answers, click here!
While there are many different types of factoring by grouping, in this introductory level of algebra, the only grouping problems you will have will involve exactly four terms, and in the grouping, you can always group the first two terms and the last two terms. When you group the first two and the last two terms together, you MUST get a common factor! If you don’t get a common factor—that is, if the second binomial factor does not match the first binomial factor EXACTLY in this set of exercises, then you must have done it wrong. Go back and find your error!!
7.
SOLUTION: Notice that there are NO common factors, it is NOT a trinomial, and it is NOT the difference of two squares! The only thing left to do is to try a grouping of the first two terms and the last two terms, and hope you get a common factor.
Notice that
you DO have a common factor
11.
SOLUTION: Notice that there are NO common factors, it is NOT a trinomial, and it is NOT the difference of two squares! The only thing left to do is to try a grouping of the first two terms and the last two terms, and hope you get a common factor.
Notice that
you DO have a common factor
13.
SOLUTION: Notice that there are NO common factors, it is NOT a trinomial. Group the first two terms and the last two terms, and make sure that you get a common factor!
Notice that
you DO have a common factor
Now, you have a difference of two squares, which factors again!
14.
SOLUTION: Notice that there are NO common factors, it is NOT a trinomial, and it is NOT the difference of two squares! Group the first two terms and the last two terms, and make sure that you get a common factor!
Notice that
you DO have a common factor
Now, you have a difference of two squares, which factors again!
15.
SOLUTION: Notice that there are NO common factors, it is NOT a trinomial, and it is NOT the difference of two squares! Group the first two terms and the last two terms, and make sure that you get a common factor!
Notice that
you DO have a common factor
Now, you have a difference of two squares, which factors again!
17.
SOLUTION: Notice that there are NO common factors, it is NOT a trinomial, and it is NOT the difference of two squares! Group the first two terms and the last two terms, and make sure that you get a common factor!
Notice that
you DO have a common factor
Now, you have a difference of two squares, which factors again!
 Final answer!!
21.
SOLUTION: Notice that there are NO common factors, it is NOT a trinomial, and it is NOT the difference of two squares! Group the first two terms and the last two terms, and make sure that you get a common factor!
Notice that
you DO have a common factor
Now, you have a difference of two squares, which factors again!
22.
SOLUTION: Notice that there are NO common factors, it is NOT a trinomial, and it is NOT the difference of two squares! Group the first two terms and the last two terms, and make sure that you get a common factor!
Notice that
you DO have a common factor
Now, you have a difference of two squares, which factors again!
Return to main page Return to Basic Algebra Math in Living C O L O R !!
|
