Question: Factor out the greatest common factor. 2s + 6t Select the correct choice below and fill in any…

Factor out the greatest common factor.

2s + 6t

Select the correct choice below and fill in any answer boxes in your choice.

A. 2s + 6t = \boxed{\phantom{0}} (Type your answer in factored form.)

B. There is no common factor other than 1.

Solution

To factor out the greatest common factor from the expression \(2s + 6t\): First, identify the greatest common factor of the terms. The terms are \(2s\) and \(6t\). The coefficients of these terms are 2 and 6. The greatest common factor of 2 and 6 is 2. Now, factor 2 out of each term: \[ 2s + 6t = 2(s + 3t) \] Thus, the expression factored is: \[ 2(s + 3t) \]