Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 3g2+6g
Identify GCF for Terms: Now, we will express each term as a product of the GCF and the remaining factors.For 3g2, the GCF is 3g, so we have:3g2=3g×gFor 6g, the GCF is also 3g, so we have:6g=3g×2
Express Terms as Products: Next, we write the original expression as a product of the GCF and the sum of the remaining factors from each term.3g2+6g=3g⋅g+3g⋅2Now, we can factor out the GCF, which is 3g:3g2+6g=3g(g+2)