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Factor.\newline20q3+10q2+6q+320q^3 + 10q^2 + 6q + 3

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Q. Factor.\newline20q3+10q2+6q+320q^3 + 10q^2 + 6q + 3
  1. Identify Common Factors: Look for common factors in each term of the polynomial 20q3+10q2+6q+320q^3 + 10q^2 + 6q + 3. We can see that each term is divisible by 22. Let's factor out the greatest common factor, which is 22. 20q3+10q2+6q+3=2(10q3+5q2+3q+1.5)20q^3 + 10q^2 + 6q + 3 = 2(10q^3 + 5q^2 + 3q + 1.5)
  2. 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.\newlineThe correct greatest common factor for the terms 20q320q^3, 10q210q^2, 6q6q, and 33 is 11, not 22. Therefore, we cannot factor out 22 as we initially thought.