Question

in the expression $2x^2 + 4x - 3x - 6$, what is the greatest common factor (gcf) of the last two terms $(-3x - 6)$? -3 3 -x x

Explanation:

Step1: Analyze the terms -3x and -6

We need to find the GCF of -3x and -6. First, factor out the numerical and variable parts. The numerical coefficients are -3 and -6, and the variable part for -3x is x (but -6 has no variable part).

Step2: Find GCF of numerical coefficients

The factors of -3 are ±1, ±3. The factors of -6 are ±1, ±2, ±3, ±6. The greatest common factor of -3 and -6 (considering the greatest common in terms of absolute value and sign consistency for the terms) is -3. Also, since -6 has no x term, the GCF can't include x. So the GCF of -3x and -6 is -3.

Answer:

-3 (corresponding to the yellow button option: -3)