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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline6h3+9h26h^3 + 9h^2

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline6h3+9h26h^3 + 9h^2
  1. Find GCF of terms: We need to find the greatest common factor (GCF) of the terms 6h36h^3 and 9h29h^2. To do this, we will list the factors of the coefficients and the powers of hh.\newlineFactors of 66: 1,2,3,61, 2, 3, 6\newlineFactors of 99: 1,3,91, 3, 9\newlineCommon factors of the coefficients: 33\newlinePowers of hh: h2h^2 is the highest power of hh that is common to both terms.\newlineThe GCF is therefore 9h29h^211.
  2. Divide by GCF: Now we will divide each term by the GCF to find the remaining factors.\newlineFor 6h36h^3, we divide by 3h23h^2 to get 2h2h.\newlineFor 9h29h^2, we divide by 3h23h^2 to get 33.
  3. Write original polynomial: We can now write the original polynomial as the product of the GCF and the remaining factors.\newline6h3+9h2=3h2(2h)+3h2(3)6h^3 + 9h^2 = 3h^2(2h) + 3h^2(3)\newlineCombining the terms inside the parentheses, we get:\newline6h3+9h2=3h2(2h+3)6h^3 + 9h^2 = 3h^2(2h + 3)