Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.9h3+6h2
Find GCF of terms: We need to find the greatest common factor (GCF) of the terms 9h3 and 6h2. To do this, we will list the factors of the coefficients and the powers of h.Factors of 9: 1, 3, 9Factors of 6: 1, 2, 3, 6Powers of h in 9h3: h, 6h25, 6h26Powers of h in 6h2: h, 6h25The common factors of the coefficients are 1 and 3. The common powers of h are h and 6h25. The greatest common factor is the highest of these common factors.GCF of 9h3 and 6h2: h8
Express terms as products: Now we will express each term as a product of the GCF and the remaining factors.For 9h3, we divide it by the GCF:9h3÷3h2=3hFor 6h2, we divide it by the GCF:6h2÷3h2=2
Write original polynomial: We can now write the original polynomial as a product of the GCF and the sum of the remaining factors.9h3+6h2= 3h2×3h+3h2×2= 3h2(3h+2)