Step 1: Find the Greatest Common Factor (GCF)
1. What is the largest number that divides evenly into [tex]90x[/tex] and [tex]35
[/tex]? 5
2. What is the highest degree of [tex]x[/tex] that divides evenly into [tex]90x[/tex] and [tex]35[/tex]? None, [tex]x[/tex] is not in every term
3. Multiplying the results above, the GCF is [tex]5[/tex]
(The GCF is 5)
Step 2: Factor out the GCF
1. Put the GCF as the first term
2.Then, in parentheses, divide each term by the GCF
[tex]5( \frac{90x}{5} + \frac{35}{5})[/tex]
Step 3: Simplify each term in parentheses
[tex]5(18x+7)[/tex]
Done! :)