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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline4f2+10f4f^2 + 10f

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline4f2+10f4f^2 + 10f
  1. Identify GCF: Identify the greatest common factor (GCF) of the terms 4f24f^2 and 10f10f. The GCF is the highest number that divides both coefficients (44 and 1010) and the highest power of the variable that is common to both terms. The coefficients 44 and 1010 are both divisible by 22, and the variable ff is common to both terms with the lowest power being f1f^1.
  2. Calculate GCF: Calculate the GCF of the coefficients 44 and 1010, which is 22. Since ff is the common variable and the lowest power of ff in both terms is f1f^1, the GCF of the polynomial is 2f2f.
  3. Divide by GCF: Divide each term of the polynomial by the GCF to factor it out. For the term 4f24f^2, divide by 2f2f to get 2f2f. For the term 10f10f, divide by 2f2f to get 55.
  4. Write Factored Form: Write the factored form of the polynomial using the GCF. The polynomial 4f2+10f4f^2 + 10f factored by the GCF 2f2f is 2f(2f+5)2f(2f + 5).