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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline2n36n22n^3 - 6n^2

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline2n36n22n^3 - 6n^2
  1. Identify GCF of Terms: Identify the greatest common factor (GCF) of the terms 2n32n^3 and 6n26n^2. The GCF is the highest number and the highest power of nn that divides both terms.\newlineFor the coefficients, the GCF of 22 and 66 is 22.\newlineFor the powers of nn, since both terms have at least an n2n^2, the GCF includes n2n^2.\newlineTherefore, the GCF of 2n32n^3 and 6n26n^2 is 6n26n^211.
  2. Divide by GCF: Divide each term by the GCF to find the remaining factors.\newlineFor the first term, 2n32n^3 divided by 2n22n^2 is nn.\newlineFor the second term, 6n26n^2 divided by 2n22n^2 is 33.
  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 2n2(n3)2n^2(n - 3).