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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline3g2+6g3g^2 + 6g

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline3g2+6g3g^2 + 6g
  1. Identify GCF for Terms: Now, we will express each term as a product of the GCF and the remaining factors.\newlineFor 3g23g^2, the GCF is 3g3g, so we have:\newline3g2=3g×g3g^2 = 3g \times g\newlineFor 6g6g, the GCF is also 3g3g, so we have:\newline6g=3g×26g = 3g \times 2
  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.\newline3g2+6g=3gg+3g23g^2 + 6g = 3g \cdot g + 3g \cdot 2\newlineNow, we can factor out the GCF, which is 3g3g:\newline3g2+6g=3g(g+2)3g^2 + 6g = 3g(g + 2)