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Factor.\newline18s39s24s+218s^3 - 9s^2 - 4s + 2

Full solution

Q. Factor.\newline18s39s24s+218s^3 - 9s^2 - 4s + 2
  1. Identify Common Factors: Look for common factors in the first two terms and the last two terms separately.\newlineFor the first two terms, 18s318s^3 and 9s2-9s^2, the common factor is 9s29s^2.\newlineFor the last two terms, 4s-4s and +2+2, the common factor is 2-2.
  2. Factor Out Common Factors: Factor out the common factors identified in Step 11.\newlineFactoring out 9s29s^2 from the first two terms gives us 9s2(2s1)9s^2(2s - 1).\newlineFactoring out 2-2 from the last two terms gives us 2(2s1)-2(2s - 1).
  3. Rewrite Polynomial: Rewrite the polynomial with the factored groups.\newlineThe polynomial can now be written as 9s2(2s1)2(2s1)9s^2(2s - 1) - 2(2s - 1).
  4. Factor Out Binomial Factor: Factor out the common binomial factor (2s1)(2s - 1). Both groups contain the factor (2s1)(2s - 1), so we can factor this out to get (2s1)(9s22)(2s - 1)(9s^2 - 2).