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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline9y36y9y^3 - 6y

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline9y36y9y^3 - 6y
  1. Find GCF Factors: We need to find the greatest common factor (GCF) of the terms 9y39y^3 and 6y6y. To do this, we will list the factors of the coefficients and the powers of yy.\newlineFactors of 99: 11, 33, 99\newlineFactors of 66: 11, 22, 33, 66\newlineThe common factors of the coefficients are 11 and 33.\newlineFor the variable yy, the smallest power is 6y6y55, which is present in both terms.\newlineTherefore, the GCF of 9y39y^3 and 6y6y is 6y6y88.
  2. Divide by GCF: Now we will divide each term by the GCF to factor it out.\newlineFor the first term, 9y39y^3 divided by 3y3y gives us 3y23y^2.\newlineFor the second term, 6y6y divided by 3y3y gives us 22.
  3. Write Factored Polynomial: We can now write the original polynomial as the product of the GCF and the factored terms. 9y36y=3y(3y22)9y^3 - 6y = 3y(3y^2 - 2)