Problem 28 - Introductory Algebra for College Students

Question

Factor each polynomial using the greatest common factor. If there is no common factor other than 1 and the polynomial cannot be factored, so state. $$11 y^{2}-30 y$$

Step-by-Step Solution

Answer

The factored form of the polynomial \(11y^{2} - 30y\) is \(y( 11y - 30)\).

Step 1 Identify the GCF

First, identify the greatest common factor of \(11y^{2}\) and \(-30y\). In these terms, the GCF is \(y\).

Step 2 Factor out the GCF

Factor out the GCF from each term in the polynomial. This gives us \(y( 11y - 30)\).

Step 3 Check

Check your answer by using the distributive property. In this case, \(y( 11y - 30)\) should give you the original polynomial \(11y^{2} - 30y\).