Question

Factor the greatest common factor of 3x^2y^3z^4 - 9x^3y^2z^2 + 6x:

a) 3x
b) 3x^2y^2z^2
c) 6x
d) 9x^2y^3z^2

Answer 1

To factor the greatest common factor of the given expression, 3x^2y^3z^4 - 9x^3y^2z^2 + 6x, we need to find the common factors of all the terms. The common factor is 3x, so we can factor it out by dividing each term by 3x. The factored form is 3x(xyz^2 - x^2y^2z^2 + 2).

Step-by-step explanation:

To factor the greatest common factor of the given expression, 3x^2y^3z^4 - 9x^3y^2z^2 + 6x, we need to find the common factors of all the terms. In this case, the common factor is 3x. We can divide each term by 3x to factor it out:

3x^2y^3z^4 - 9x^3y^2z^2 + 6x = 3x(xyz^2) - 3x^2(y^2z^2) + 2

The factored form is therefore 3x(xyz^2 - x^2y^2z^2 + 2). So the correct option is a) 3x.