Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.8a3+6a
Find GCF of Terms: We need to find the greatest common factor (GCF) of the terms 8a3 and 6a. To do this, we will list the factors of the coefficients and the powers of a to find the highest common factor.Factors of 8: 1,2,4,8Factors of 6: 1,2,3,6The common factors of the coefficients are 1 and 2.For the variable 'a', the lowest power is 6a0 in the term 6a.Therefore, the GCF of 8a3 and 6a is 6a4.
List Factors: Now we will divide each term by the GCF to factor it out.8a3 divided by 2a gives us 4a2.6a divided by 2a gives us 3.So, the factored form of the polynomial is 2a(4a2+3).