The greatest common factor of 5x^5 and 35x^4 and 21x^2 is
The greatest common factor of 5x^5, 35x^4, and 21x^2 can be found by looking for the highest power of x that divides evenly into all three terms.
The factors of 5x^5 are 1, 5, x, x^2, x^3, x^4, and x^5.
The factors of 35x^4 are 1, 5, 7, 35, x, x^2, x^3, and x^4.
The factors of 21x^2 are 1, 3, 7, 21, x, and x^2.
The greatest common factor among all three terms is 1, x, or x^2.
Therefore, the greatest common factor of 5x^5, 35x^4, and 21x^2 is x.