Question

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

Explanation:

Step1: Analyze coefficients

Find GCF of 2 and 4. Factors of 2: 1, 2; Factors of 4: 1, 2, 4. GCF is 2.

Step2: Analyze variables

For \(x^2\) and \(x\), the lowest power of \(x\) is \(x^1 = x\).

Step3: Combine GCFs

Multiply the GCF of coefficients (2) and GCF of variables (\(x\)): \(2\times x = 2x\).

Answer:

2x (corresponding to the orange option: 2x)