Sure, let's find the greatest common factor (GCF) of the terms of the polynomial 26x² and 34x².
The GCF of two numbers is the largest number that divides both of them without leaving a remainder.
Here are the steps to find the GCF of 26 and 34:
1. List the prime factors of each number.
- The prime factors of 26 are: 2, 13
- The prime factors of 34 are: 2, 17
2. Identify the common prime factors.
- The common prime factor is 2
3. The GCF is the product of the common prime factors.
- Thus, the GCF is 2.
So, the greatest common factor of the terms of the polynomial 26x² and 34x² is 2.