For Questions 586 Factor out the GCF You can earn: 1 point for identifying any common factor 1 point for identi fying the greatest common factor 1 point for writing the result correctly 5 6x^2+18x-30

To factor out the greatest common factor (GCF) from the expression \(6x^2 + 18x - 30\), follow these steps:<br /><br />1. **Identify any common factor:**<br /> - Look at the coefficients of each term: 6, 18, and -30.<br /> - The common factor for these numbers is 2, but we need to find the greatest common factor.<br /><br />2. **Identify the greatest common factor:**<br /> - The greatest common factor of 6, 18, and -30 is 6.<br /><br />3. **Factor out the GCF:**<br /> - Divide each term by the GCF (6) and write the expression as a product:<br /> \[<br /> 6x^2 + 18x - 30 = 6(x^2 + 3x - 5)<br /> \]<br /><br />Thus, the expression factored by the GCF is \(6(x^2 + 3x - 5)\).