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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline6b310b26b^3 - 10b^2

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline6b310b26b^3 - 10b^2
  1. Identify GCF: Identify the greatest common factor (GCF) of the terms 6b36b^3 and 10b210b^2. The GCF is the highest number that divides both coefficients (66 and 1010) and the highest power of bb that is in both terms.\newlineThe coefficients 66 and 1010 are both divisible by 22. The variable part, b3b^3 and b2b^2, share a common factor of b2b^2 since that is the highest power of bb that divides both terms.\newlineTherefore, the GCF is 10b210b^222.
  2. Divide terms: Divide each term by the GCF to find the remaining factors.\newlineFor the term 6b36b^3, divide by 2b22b^2 to get 3b3b.\newlineFor the term 10b210b^2, divide by 2b22b^2 to get 55.
  3. Write factored form: Write the original polynomial as the product of the GCF and the remaining factors.\newlineThe factored form of the polynomial is 2b2(3b5)2b^2(3b - 5).