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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline6a3+9a26a^3 + 9a^2

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline6a3+9a26a^3 + 9a^2
  1. Identify GCF: Identify the greatest common factor (GCF) of the terms 6a36a^3 and 9a29a^2. The GCF is the highest number that divides both coefficients (66 and 99) and the highest power of 'aa' that is in both terms.\newlineThe coefficients 66 and 99 are both divisible by 33. The variable 'aa' is to the power of 33 in the first term and to the power of 9a29a^200 in the second term, so the highest power of 'aa' that is in both terms is 9a29a^222.\newlineTherefore, the GCF is 9a29a^233.
  2. Factor out GCF: Factor out the GCF from each term in the polynomial.\newlineThe first term 6a36a^3 can be written as 3a2×2a3a^2 \times 2a, because 6a36a^3 divided by 3a23a^2 is 2a2a.\newlineThe second term 9a29a^2 can be written as 3a2×33a^2 \times 3, because 9a29a^2 divided by 3a23a^2 is 33.
  3. Write factored form: Write the factored form of the polynomial using the GCF.\newlineThe polynomial 6a3+9a26a^3 + 9a^2 can be written as 3a2(2a+3)3a^2(2a + 3) after factoring out the GCF from each term.