Question

100x^6+50x^4-10x^2+5x

Find GCF

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the greatest common factor (GCF) of the given expression, we need to factorize it completely and then find the common factors in each term.

The given expression can be written as:
100x^6 + 50x^4 - 10x^2 + 5x

Taking the common factor out from each term, we have:
x(100x^5 + 50x^3 - 10x + 5)

Now, let's try to factorize the expression inside the parentheses:
100x^5 + 50x^3 - 10x + 5

Taking the common factor out again, we get:
5(20x^5 + 10x^3 - 2x + 1)

Since it is not possible to factorize the expression any further, we can conclude that the GCF of the given expression is 5.