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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline6d25d6d^2 - 5d

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline6d25d6d^2 - 5d
  1. Find GCF of terms: We need to find the greatest common factor (GCF) of the terms 6d26d^2 and 5d-5d. To do this, we look for the highest power of dd that is in both terms and the largest number that divides both coefficients.\newlineThe highest power of dd common to both terms is dd (since d2d^2 has dd and 5d-5d has dd).\newlineThe largest number that divides both 66 and 5d-5d00 is 5d-5d11.\newlineSo, the GCF of 6d26d^2 and 5d-5d is dd.
  2. Factor out GCF: Now we will factor out the GCF from each term.\newlineFor the term 6d26d^2, we divide it by dd to get 6d6d.\newlineFor the term 5d-5d, we divide it by dd to get 5-5.
  3. Write as product: We write the original polynomial as the product of the GCF and the remaining factors.\newline6d25d=d(6d5)6d^2 - 5d = d(6d - 5)