Question

factor. (be sure to factor out the greatest common factor.)
$5x^2 - 35x$
$5x^2 - 35x = \square$
(type the factored expression. factor completely.)

Explanation:

Step1: Find the GCF of coefficients and variables

For the coefficients 5 and 35, the GCF is 5. For the variables \(x^2\) and \(x\), the GCF is \(x\). So the GCF of \(5x^2\) and \(35x\) is \(5x\).

Step2: Factor out the GCF

Divide each term by \(5x\): \(\frac{5x^2}{5x}-\frac{35x}{5x}=x - 7\). Then write the factored form as \(5x(x - 7)\).

Answer:

\(5x(x - 7)\)