Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 3k3+6k
Express Terms as Product: Now, we will express each term as a product of the GCF and the remaining factors.For 3k3, we have:3k3=3×k×k×kWe can write 3k3 as the GCF (3k) times the remaining factors (k2).3k3=3k×k2For 6k, we have:6k=2×3×kWe can write 6k as the GCF (3k) times the remaining factors 3k3=3×k×k×k0.3k3=3×k×k×k1
Factor Out GCF: Now, we can factor out the GCF from the polynomial 3k3+6k. We have: 3k3+6k=3kimesk2+3kimes2=3k(k2+2) This is the factored form of the polynomial with the GCF factored out.