Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 6a3+9a2
Identify GCF: Identify the greatest common factor (GCF) of the terms 6a3 and 9a2. The GCF is the highest number that divides both coefficients (6 and 9) and the highest power of 'a' that is in both terms.The coefficients 6 and 9 are both divisible by 3. The variable 'a' is to the power of 3 in the first term and to the power of 9a20 in the second term, so the highest power of 'a' that is in both terms is 9a22.Therefore, the GCF is 9a23.
Factor out GCF: Factor out the GCF from each term in the polynomial.The first term 6a3 can be written as 3a2×2a, because 6a3 divided by 3a2 is 2a.The second term 9a2 can be written as 3a2×3, because 9a2 divided by 3a2 is 3.
Write factored form: Write the factored form of the polynomial using the GCF.The polynomial 6a3+9a2 can be written as 3a2(2a+3) after factoring out the GCF from each term.