Identify Common Factors: Look for common factors in each term of the polynomial 20q3+10q2+6q+3. We can see that each term is divisible by 2. Let's factor out the greatest common factor, which is 2. 20q3+10q2+6q+3=2(10q3+5q2+3q+1.5)
Factor Out Greatest Common Factor: Realize that there was a mistake in the previous step because we cannot have a fraction in the polynomial. We need to find the greatest common factor that keeps all terms as integers.The correct greatest common factor for the terms 20q3, 10q2, 6q, and 3 is 1, not 2. Therefore, we cannot factor out 2 as we initially thought.