what is the gcf of 8x squared y, 12x to the fourth y to the fourth, and 20x cubed?
a)8x squared y
b)4x squared y
c)8x squared
d)4x squared
I don't have an answer. The gcf is 4. I think the answer is either b and d. Which one is it?
If gcf means Greatest Common Factor, that would be 4 x^2. It is the largest factor common to all three terms. The CGF does not just involve the constant coefficients. That is why it is not 4 in this case.
is the answer d?
When I wrote 4x^2, that means the same as where you wrote 4x squared. But it is x that is squared, not 4x.
This is the last of your questions that I will be answering until you show some effort or thought process of your own
To find the greatest common factor (GCF) of the given terms: 8x^2y, 12x^4y^4, and 20x^3, you need to determine the highest power of each variable that appears in all the terms.
Let's start by factoring each term:
8x^2y can be factored into 2 * 2 * 2 * x * x * y.
12x^4y^4 can be factored into 2 * 2 * 3 * x * x * x * x * y * y * y * y.
20x^3 can be factored into 2 * 2 * 5 * x * x * x.
Now, identify the common factors from all the terms:
The common factors are 2 * 2 * x * x = 4x^2.
Therefore, the GCF of the given terms is 4x^2.
Out of the options provided, the correct answer is d) 4x squared.