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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline4r36r4r^3 - 6r

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline4r36r4r^3 - 6r
  1. Identify GCF: We need to find the greatest common factor (GCF) of the terms 4r34r^3 and 6r6r. To do this, we look for the highest power of rr that is in both terms and the largest number that divides both 44 and 66. The highest power of rr common to both terms is rr (since the second term is only to the first power). The largest number that divides both 44 and 66 is 22. Therefore, the GCF is 6r6r00.
  2. Divide by GCF: Now we divide each term by the GCF to find the remaining factors.\newlineFor the first term, 4r34r^3 divided by 2r2r gives us 2r22r^2.\newlineFor the second term, 6r6r divided by 2r2r gives us 33.
  3. Write Factored Form: We can now write the original polynomial as the product of the GCF and the remaining factors.\newlineThe factored form of the polynomial is 2r(2r23)2r(2r^2 - 3).