Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 3x3+9
Identify GCF: We need to find the greatest common factor (GCF) of the terms in the polynomial 3x3+9. To do this, we look for the highest number and the highest power of any variables that evenly divide both terms.
Factor out GCF: The number 3 is a factor of both 3x3 and 9. There are no common x terms in 9 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 3.
Divide terms: Now we divide each term by the GCF to factor it out. For the first term, 3x3 divided by 3 is x3. For the second term, 9 divided by 3 is 3.
Write factored polynomial: Writing the original polynomial with the GCF factored out, we get 3(x3+3).