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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline9f3+6f9f^3 + 6f

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline9f3+6f9f^3 + 6f
  1. Find GCF of coefficients: First, let's find the GCF of the numerical coefficients 99 and 66. The factors of 99 are 11, 33, and 99. The factors of 66 are 11, 22, 33, and 66. The greatest common factor of 99 and 66 is 33.
  2. Determine common variable power: Next, we look at the variable part. The term 9f39f^3 has ff raised to the third power, and the term 6f6f has ff raised to the first power. The greatest power of ff that is common to both terms is ff to the first power, since we cannot have a power higher than the lowest present, which is 11.
  3. Calculate GCF of numerical and variable parts: Combining the numerical and variable parts, we find that the GCF of 9f39f^3 and 6f6f is 3f3f.
  4. Factor out GCF from each term: Now we will factor out the GCF from each term. For the term 9f39f^3, we divide it by the GCF, which gives us 9f33f=3f2\frac{9f^3}{3f} = 3f^2. For the term 6f6f, we divide it by the GCF, which gives us 6f3f=2\frac{6f}{3f} = 2.
  5. Write expression in factored form: Finally, we write the original expression as a product of the GCF and the remaining factors. The factored form of 9f3+6f9f^3 + 6f is 3f(3f2+2)3f(3f^2 + 2).