Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.6h3+9h2
Find GCF of terms: We need to find the greatest common factor (GCF) of the terms 6h3 and 9h2. To do this, we will list the factors of the coefficients and the powers of h.Factors of 6: 1,2,3,6Factors of 9: 1,3,9Common factors of the coefficients: 3Powers of h: h2 is the highest power of h that is common to both terms.The GCF is therefore 9h21.
Divide by GCF: Now we will divide each term by the GCF to find the remaining factors.For 6h3, we divide by 3h2 to get 2h.For 9h2, we divide by 3h2 to get 3.
Write original polynomial: We can now write the original polynomial as the product of the GCF and the remaining factors.6h3+9h2=3h2(2h)+3h2(3)Combining the terms inside the parentheses, we get:6h3+9h2=3h2(2h+3)