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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline6y3+9y6y^3 + 9y

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline6y3+9y6y^3 + 9y
  1. Identify GCF: We need to find the greatest common factor (GCF) of the terms 6y36y^3 and 9y9y. To do this, we look for the highest power of yy that is in both terms and the largest number that divides both 66 and 99.
  2. Determine Highest Power: The highest power of yy that is common to both terms is yy, since the second term does not have a power higher than 11. The largest number that divides both 66 and 99 is 33. Therefore, the GCF is 3y3y.
  3. Divide by GCF: Now we divide each term by the GCF to find the remaining factors. For the first term, 6y36y^3 divided by 3y3y gives us 2y22y^2. For the second term, 9y9y divided by 3y3y gives us 33.
  4. Write Factored Form: We can now write the original polynomial as the product of the GCF and the remaining factors. The factored form of 6y3+9y6y^3 + 9y is 3y(2y2+3)3y(2y^2 + 3).