Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 6u2−9u
Find GCF of Terms: We need to find the greatest common factor (GCF) of the terms 6u2 and 9u. To do this, we will list the factors of the coefficients and the variables separately.Factors of 6: 1,2,3,6Factors of 9: 1,3,9Common factors of the coefficients: 3Both terms have the variable 'u' in common, with the smallest power being u1.The GCF of 6u2 and 9u is therefore 9u1.
Divide by GCF: Now we will divide each term by the GCF to factor it out.For the first term, 6u2 divided by 3u gives us 2u.For the second term, 9u divided by 3u gives us 3.
Write as Product: We can now write the original polynomial as the product of the GCF and the factored terms.6u2−9u=3u(2u−3)