Question

factor out the gcf
3x³ + 9x
3x(x³ + 9)
3x(x³ + 3x)
3x(x² + 3)
x(3x² + 9)

Explanation:

Step1: Find GCF of coefficients and variables

For \(3x^3 + 9x\), GCF of 3 and 9 is 3. GCF of \(x^3\) and \(x\) is \(x\). So GCF is \(3x\).

Step2: Factor out GCF

Divide each term by \(3x\): \(\frac{3x^3}{3x}=x^2\), \(\frac{9x}{3x}=3\). So \(3x^3 + 9x = 3x(x^2 + 3)\).

Answer:

\(3x(x^2 + 3)\) (corresponding to the option \(3x(x^2 + 3)\))