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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline8a3+6a8a^3 + 6a

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline8a3+6a8a^3 + 6a
  1. Find GCF of Terms: We need to find the greatest common factor (GCF) of the terms 8a38a^3 and 6a6a. To do this, we will list the factors of the coefficients and the powers of aa to find the highest common factor.\newlineFactors of 88: 1,2,4,81, 2, 4, 8\newlineFactors of 66: 1,2,3,61, 2, 3, 6\newlineThe common factors of the coefficients are 11 and 22.\newlineFor the variable 'aa', the lowest power is 6a6a00 in the term 6a6a.\newlineTherefore, the GCF of 8a38a^3 and 6a6a is 6a6a44.
  2. List Factors: Now we will divide each term by the GCF to factor it out.\newline8a38a^3 divided by 2a2a gives us 4a24a^2.\newline6a6a divided by 2a2a gives us 33.\newlineSo, the factored form of the polynomial is 2a(4a2+3)2a(4a^2 + 3).