Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.6g2+9g
Identify GCF of Terms: Identify the greatest common factor (GCF) of the terms 6g2 and 9g. The GCF is the highest number that divides both coefficients (6 and 9) and the highest power of g that is common to both terms.The coefficients 6 and 9 are both divisible by 3. The variable g is present in both terms, with the lowest power being g1 (since 9g0 and g have g in common).Therefore, the GCF is 9g3.
Divide by GCF: Divide each term by the GCF to factor it out.For the term 6g2, divide by 3g to get 2g.For the term 9g, divide by 3g to get 3.
Write Factored Form: Write the original polynomial as the product of the GCF and the factored terms.The factored form of the polynomial is 3g(2g+3).