Find the GGF of 20x - 4
To find the Generating Function (GF) of the sequence 20x - 4, we need to calculate the sum of the terms of the sequence multiplied by x^n, where n represents the position of the term in the sequence.
The sequence 20x - 4 can be written as:
(20x - 4) = -4 + 20x
Now, let's calculate the GF.
GF = -4x^0 + 20x^1 + 0x^2 + 0x^3 + ...
Since there are no terms with x raised to a power greater than 1, the GF can be written as:
GF = -4x^0 + 20x^1
Simplifying further:
GF = -4 + 20x
Therefore, the Generating Function (GF) of 20x - 4 is -4 + 20x.
To find the greatest common factor (GCF) of 20x - 4, we need to factor out any common factors from the given expression.
First, we can see that both 20 and 4 are divisible by 4. So, let's factor out 4:
20x - 4 = 4(5x - 1)
Now, we can see that there are no other common factors between 5x and 1. Therefore, the GCF of 20x - 4 is 4.
To find the greatest common factor (GGF) of the given expression, 20x - 4, we need to determine the largest common factor that can divide both terms evenly.
Step 1: Factor out any common factors between the two terms.
In this case, both terms already have a common factor of 4. So we can start with factoring out 4:
20x - 4 = 4(5x - 1)
Step 2: Simplify the expression by factoring further if possible.
The expression 5x - 1 does not have any common factors, so we cannot factor it any further.
Step 3: Check if there are any other common factors besides 4.
Since we have factored out the common factor of 4, we need to check if there are any further common factors. In this case, there are no other common factors.
Therefore, the greatest common factor (GGF) of 20x - 4 is 4.