Identify Common Factors: Look for common factors in the first two terms and the last two terms separately.For the first two terms, 18s3 and −9s2, the common factor is 9s2.For the last two terms, −4s and +2, the common factor is −2.
Factor Out Common Factors: Factor out the common factors identified in Step 1.Factoring out 9s2 from the first two terms gives us 9s2(2s−1).Factoring out −2 from the last two terms gives us −2(2s−1).
Rewrite Polynomial: Rewrite the polynomial with the factored groups.The polynomial can now be written as 9s2(2s−1)−2(2s−1).
Factor Out Binomial Factor: Factor out the common binomial factor (2s−1). Both groups contain the factor (2s−1), so we can factor this out to get (2s−1)(9s2−2).