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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline6x34x6x^3 - 4x

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline6x34x6x^3 - 4x
  1. Identify Factors: We need to find the greatest common factor (GCF) of the terms 6x36x^3 and 4x4x. To do this, we will list the factors of the coefficients and the variables separately and then identify the common factors.\newlineFactors of 66: 1,2,3,61, 2, 3, 6\newlineFactors of 44: 1,2,41, 2, 4\newlineThe common factors of the coefficients are 11 and 22.\newlineFor the variables, since both terms have an 'xx', we take the lowest power of 'xx' present in both terms, which is 4x4x00.\newlineThe GCF of 6x36x^3 and 4x4x is therefore 4x4x33.
  2. Find GCF: Now we will divide each term by the GCF to factor it out.\newlineFor the first term, 6x36x^3 divided by 2x2x gives us 3x23x^2.\newlineFor the second term, 4x4x divided by 2x2x gives us 22.\newlineSo, the polynomial factored by the GCF is 2x(3x22)2x(3x^2 - 2).