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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline6g2+9g6g^2 + 9g

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline6g2+9g6g^2 + 9g
  1. Identify GCF of Terms: Identify the greatest common factor (GCF) of the terms 6g26g^2 and 9g9g. The GCF is the highest number that divides both coefficients (66 and 99) and the highest power of gg that is common to both terms.\newlineThe coefficients 66 and 99 are both divisible by 33. The variable gg is present in both terms, with the lowest power being g1g^1 (since 9g9g00 and gg have gg in common).\newlineTherefore, the GCF is 9g9g33.
  2. Divide by GCF: Divide each term by the GCF to factor it out.\newlineFor the term 6g26g^2, divide by 3g3g to get 2g2g.\newlineFor the term 9g9g, divide by 3g3g to get 33.
  3. Write Factored Form: Write the original polynomial as the product of the GCF and the factored terms.\newlineThe factored form of the polynomial is 3g(2g+3)3g(2g + 3).