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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline2b3+8b2b^3 + 8b

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline2b3+8b2b^3 + 8b
  1. Identify GCF: Identify the greatest common factor (GCF) of the terms 2b32b^3 and 8b8b. The GCF is the highest number that divides both coefficients (22 and 88) and the highest power of bb that is in both terms. The coefficients 22 and 88 have a GCF of 22. Since the smallest power of bb in both terms is b1b^1, the GCF is 8b8b00.
  2. Divide terms: Divide each term by the GCF to find the remaining factors. For the term 2b32b^3, dividing by 2b2b gives us b2b^2. For the term 8b8b, dividing by 2b2b gives us 44.
  3. Write factored form: Write the original polynomial as the product of the GCF and the remaining factors. The factored form of the polynomial is 2b(b2+4)2b(b^2 + 4).