For Questions 586 Factor out the GCF You can earn: 1 point for identifying any common factor 1 point for identifying the greatest common factor 1 point for writing the result correctly 5 6x^2+18x-30 6. 4x^2-8x+24

To factor out the greatest common factor (GCF) from each expression, follow these steps:<br /><br />**5. \(6x^{2} + 18x - 30\):**<br /><br />1. **Identify any common factor:**<br /> - The coefficients are 6, 18, and -30. The common factor of these numbers is 6.<br /> - The variable terms have a common factor of \(x^0\) since not all terms contain \(x\).<br /><br />2. **Identify the greatest common factor (GCF):**<br /> - The GCF of the coefficients 6, 18, and -30 is 6.<br /><br />3. **Factor out the GCF:**<br /> \[<br /> 6x^{2} + 18x - 30 = 6(x^{2} + 3x - 5)<br /> \]<br /><br />**6. \(4x^{2} - 8x + 24\):**<br /><br />1. **Identify any common factor:**<br /> - The coefficients are 4, -8, and 24. The common factor of these numbers is 4.<br /> - The variable terms have a common factor of \(x^0\) since not all terms contain \(x\).<br /><br />2. **Identify the greatest common factor (GCF):**<br /> - The GCF of the coefficients 4, -8, and 24 is 4.<br /><br />3. **Factor out the GCF:**<br /> \[<br /> 4x^{2} - 8x + 24 = 4(x^{2} - 2x + 6)<br /> \]<br /><br />By factoring out the GCF, we simplify the expressions to their factored forms.