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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline2b2+4b2b^2 + 4b

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline2b2+4b2b^2 + 4b
  1. Identify GCF of Terms: Identify the greatest common factor (GCF) of the terms 2b22b^2 and 4b4b. The GCF is the highest number that divides both coefficients and the highest power of bb that is in both terms.\newlineFor the coefficients 22 and 44, the GCF is 22. For the variable bb, since the smallest power of bb in both terms is b1b^1, the GCF is bb.\newlineTherefore, the GCF of 2b22b^2 and 4b4b is 4b4b22.
  2. Divide by GCF: Divide each term by the GCF to find the remaining factors.\newlineFor the term 2b22b^2, dividing by 2b2b gives us bb.\newlineFor the term 4b4b, dividing by 2b2b gives us 22.
  3. Write Original Polynomial: Write the original polynomial as the product of the GCF and the remaining factors.\newline2b2+4b=2b(b+2)2b^2 + 4b = 2b(b + 2)