Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.9y3−6y
Find GCF Factors: We need to find the greatest common factor (GCF) of the terms 9y3 and 6y. To do this, we will list the factors of the coefficients and the powers of y.Factors of 9: 1, 3, 9Factors of 6: 1, 2, 3, 6The common factors of the coefficients are 1 and 3.For the variable y, the smallest power is 6y5, which is present in both terms.Therefore, the GCF of 9y3 and 6y is 6y8.
Divide by GCF: Now we will divide each term by the GCF to factor it out.For the first term, 9y3 divided by 3y gives us 3y2.For the second term, 6y divided by 3y gives us 2.
Write Factored Polynomial: We can now write the original polynomial as the product of the GCF and the factored terms. 9y3−6y=3y(3y2−2)