Factoring A GCF From an Expression Lessons
To factor out the GCF in an expression like the one above, first find the GCF of all of the expression's terms.
|27||(1, 3, 9, 27)|
|9||(1, 3, 9)|
GCF = 3x
Next, write the GCF on the left of a set of parentheses:
Next, divide each term from the original expression (3x3+27x2+9x ) by the GCF (3x), then write it in the parenthesis.
27x 2 / 3x = 9x
9x / 3x = 3
3x(x 2 + 9x + 3)
Factoring a GCF from an Expression
The next expression we will be factoring is shown below.
To begin factoring the GCF out of the expression, find the GCF of the two terms.
|36||(1, 2, 3, 4, 6, 9, 12, 18, 36)|
|64||(1, 2, 4, 8, 16, 32, 64)|
GCF = 4
As you can see, the two terms to do not have any variables in common, therefore the GCF is simply 4.
Now write 4, the GCF, on the left of a set of parentheses.
Now divide each term 4, the GCF, and place the result inside the parentheses.
-64y 4 / 4 = -16y4
4(9x 2 - 16y4)
GCF From an Expression Resources
Practice Problems / Worksheet
Expression Factoring Calculator
Difference Between Two Squares
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