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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline3x3+93x^3 + 9

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline3x3+93x^3 + 9
  1. Identify GCF: We need to find the greatest common factor (GCF) of the terms in the polynomial 3x3+93x^3 + 9. To do this, we look for the highest number and the highest power of any variables that evenly divide both terms.
  2. Factor out GCF: The number 33 is a factor of both 3x33x^3 and 99. There are no common xx terms in 99 since it is a constant, so the variable part of the GCF is not present in the second term. Therefore, the GCF is just the number 33.
  3. Divide terms: Now we divide each term by the GCF to factor it out. For the first term, 3x33x^3 divided by 33 is x3x^3. For the second term, 99 divided by 33 is 33.
  4. Write factored polynomial: Writing the original polynomial with the GCF factored out, we get 3(x3+3)3(x^3 + 3).