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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline9h3+6h29h^3 + 6h^2

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline9h3+6h29h^3 + 6h^2
  1. Find GCF of terms: We need to find the greatest common factor (GCF) of the terms 9h39h^3 and 6h26h^2. To do this, we will list the factors of the coefficients and the powers of hh.\newlineFactors of 99: 11, 33, 99\newlineFactors of 66: 11, 22, 33, 66\newlinePowers of hh in 9h39h^3: hh, 6h26h^255, 6h26h^266\newlinePowers of hh in 6h26h^2: hh, 6h26h^255\newlineThe common factors of the coefficients are 11 and 33. The common powers of hh are hh and 6h26h^255. The greatest common factor is the highest of these common factors.\newlineGCF of 9h39h^3 and 6h26h^2: hh88
  2. Express terms as products: Now we will express each term as a product of the GCF and the remaining factors.\newlineFor 9h39h^3, we divide it by the GCF:\newline9h3÷3h2=3h9h^3 \div 3h^2 = 3h\newlineFor 6h26h^2, we divide it by the GCF:\newline6h2÷3h2=26h^2 \div 3h^2 = 2
  3. Write original polynomial: We can now write the original polynomial as a product of the GCF and the sum of the remaining factors.\newline9h3+6h29h^3 + 6h^2\newline= 3h2×3h+3h2×23h^2 \times 3h + 3h^2 \times 2\newline= 3h2(3h+2)3h^2(3h + 2)