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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline10a36a210a^3 - 6a^2

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline10a36a210a^3 - 6a^2
  1. Factor out GCF: Now, we will factor out the GCF from each term in the polynomial.\newlineFor the term 10a310a^3, we divide it by the GCF, 2a22a^2, to get the remaining factor:\newline10a3÷2a2=5a10a^3 \div 2a^2 = 5a.\newlineFor the term 6a26a^2, we divide it by the GCF, 2a22a^2, to get the remaining factor:\newline6a2÷2a2=36a^2 \div 2a^2 = 3.
  2. Divide terms: Finally, we write the original polynomial as the product of the GCF and the sum of the remaining factors from each term: 10a36a2=2a2(5a3)10a^3 - 6a^2 = 2a^2(5a - 3). This is the factored form of the polynomial with the GCF factored out.