Question

factor out the greatest common factor. 12x³ - 12x² ?x^(□) (x - 1)

Explanation:

Step1: Find GCF of coefficients and variables

For coefficients 12 and 12, GCF is 12. For variables \(x^3\) and \(x^2\), GCF is \(x^2\) (since \(x^2\) is the highest power dividing both). So GCF is \(12x^2\).

Step2: Factor out GCF

Factor \(12x^2\) from \(12x^3 - 12x^2\):
\(12x^3 - 12x^2 = 12x^2(x - 1)\)

Answer:

The value in the green box is 12, and the exponent of \(x\) is 2. So the filled form is \(\boldsymbol{12}x^{\boldsymbol{2}}(x - 1)\)