Factor the GCF out of:
$6x^2+9x$

• A. $3x(2x+3)$
• B. $3(2x^2+3x)$
• C. $6x(x+3)$
• D. $3x(2x+6)$

Answer: (A)

Verified step by step guidance

1. Identify the terms in the expression: \(6x^2 + 9x\).
2. Find the greatest common factor (GCF) of the coefficients 6 and 9. The GCF is the largest number that divides both 6 and 9 evenly.
3. Determine the common variable factors in each term. Both terms have at least one \(x\), so include \(x\) in the GCF.
4. Write the GCF by combining the numerical GCF and the common variable factor(s).
5. Factor out the GCF from each term by dividing each term by the GCF and write the expression as the product of the GCF and the resulting binomial.