Question

factor using gcf or monomial factoring: 2n² - 8n³ 3n(1 - 4n) 2n⁵(10 - 8n³) 2n²(n - 4n³) 2n²(1 - 4n)

Explanation:

Step1: Find GCF of coefficients and variables

For \(2n^2 - 8n^3\), coefficients are \(2\) and \(8\), GCF of \(2\) and \(8\) is \(2\). For variables, \(n^2\) and \(n^3\), GCF is \(n^2\). So GCF (monomial factor) is \(2n^2\).

Step2: Divide each term by GCF

Divide \(2n^2\) by \(2n^2\): \(\frac{2n^2}{2n^2}=1\). Divide \(-8n^3\) by \(2n^2\): \(\frac{-8n^3}{2n^2}=-4n\).

Step3: Write factored form

Using distributive property, \(2n^2(1 - 4n)\).

Answer:

\(2n^2(1 - 4n)\) (the last option among the given choices, assuming the last option is \(2n^2(1 - 4n)\))