Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 6x3−4x
Identify Factors: We need to find the greatest common factor (GCF) of the terms 6x3 and 4x. To do this, we will list the factors of the coefficients and the variables separately and then identify the common factors.Factors of 6: 1,2,3,6Factors of 4: 1,2,4The common factors of the coefficients are 1 and 2.For the variables, since both terms have an 'x', we take the lowest power of 'x' present in both terms, which is 4x0.The GCF of 6x3 and 4x is therefore 4x3.
Find GCF: Now we will divide each term by the GCF to factor it out.For the first term, 6x3 divided by 2x gives us 3x2.For the second term, 4x divided by 2x gives us 2.So, the polynomial factored by the GCF is 2x(3x2−2).