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Factor.\newline10s310s2+3s310s^3 - 10s^2 + 3s - 3

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Q. Factor.\newline10s310s2+3s310s^3 - 10s^2 + 3s - 3
  1. Identify Common Factors: Look for common factors in each pair of terms.\newlineWe can factor out 10s210s^2 from the first two terms, 10s310s^3 and 10s2-10s^2, and we can factor out 33 from the last two terms, 3s3s and 3-3.\newline10s310s2=10s2(s1)10s^3 - 10s^2 = 10s^2(s - 1)\newline3s3=3(s1)3s - 3 = 3(s - 1)
  2. Factor Out Common Factors: Write the factored form of the polynomial.\newlineNow we have:\newline10s2(s1)+3(s1)10s^2(s - 1) + 3(s - 1)\newlineWe can see that (s1)(s - 1) is a common factor.\newlineFactor out (s1)(s - 1) from both terms.\newlineFactored form: (s1)(10s2+3)(s - 1)(10s^2 + 3)