Answer: To find the common factor of 28x^3 and 20x^5, we need to factorize each term and identify the factors they have in common.
Let's factorize 28x^3:
- 28 can be factored as 2 * 2 * 7.
- x^3 can be written as x * x * x.
So, 28x^3 can be written as (2 * 2 * 7) * (x * x * x), which simplifies to 2^2 * 7 * x^3.
Now, let's factorize 20x^5:
- 20 can be factored as 2 * 2 * 5.
- x^5 can be written as x * x * x * x * x.
So, 20x^5 can be written as (2 * 2 * 5) * (x * x * x * x * x), which simplifies to 2^2 * 5 * x^5.
Now, let's identify the common factors:
- Both terms have a factor of 2^2 (which is 4).
- Both terms have a factor of x^3.
Therefore, the common factor of 28x^3 and 20x^5 is 4x^3.
Explanation: