Factor out the greatest common factor from the terms of the polynomial 6x3−12x2+18x

Question

(1 point)
The GCF of the polynomial given is:

Answer 1

To find the greatest common factor (GCF) of the polynomial \( 6x^3 - 12x^2 + 18x \), we will look at the coefficients and the variable parts separately.

1. Coefficients: The coefficients of the terms are 6, -12, and 18. The GCF of these numbers is 6.

2. Variable Parts: The variable parts are \( x^3 \), \( x^2 \), and \( x \). The GCF of these variable parts is \( x \) (the lowest power of x in the terms).

Now, we can combine these factors:

• The GCF of the polynomial is \( 6x \).

Therefore, the GCF of the polynomial \( 6x^3 - 12x^2 + 18x \) is \( 6x \).