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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline6u29u6u^2 - 9u

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline6u29u6u^2 - 9u
  1. Find GCF of Terms: We need to find the greatest common factor (GCF) of the terms 6u26u^2 and 9u9u. To do this, we will list the factors of the coefficients and the variables separately.\newlineFactors of 66: 1,2,3,61, 2, 3, 6\newlineFactors of 99: 1,3,91, 3, 9\newlineCommon factors of the coefficients: 33\newlineBoth terms have the variable 'uu' in common, with the smallest power being u1u^1.\newlineThe GCF of 6u26u^2 and 9u9u is therefore 9u9u11.
  2. Divide by GCF: Now we will divide each term by the GCF to factor it out.\newlineFor the first term, 6u26u^2 divided by 3u3u gives us 2u2u.\newlineFor the second term, 9u9u divided by 3u3u gives us 33.
  3. Write as Product: We can now write the original polynomial as the product of the GCF and the factored terms.\newline6u29u=3u(2u3)6u^2 - 9u = 3u(2u - 3)