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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline3s3+9s23s^3 + 9s^2

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline3s3+9s23s^3 + 9s^2
  1. Identify GCF of Terms: Identify the greatest common factor (GCF) of the terms 3s33s^3 and 9s29s^2. The GCF is the highest number and the highest power of ss that divides both terms.\newlineFor the coefficients, the GCF is 33 since 33 divides both 33 and 99.\newlineFor the variable part, the GCF is s2s^2 since s2s^2 is the highest power of ss that divides both 9s29s^200 and s2s^2.\newlineTherefore, the GCF is 9s29s^222.
  2. Find Remaining Factors: Divide each term by the GCF to find the remaining factors.\newlineFor the first term, 3s33s^3 divided by 3s23s^2 is ss.\newlineFor the second term, 9s29s^2 divided by 3s23s^2 is 33.
  3. Write Original Polynomial: Write the original polynomial as the product of the GCF and the remaining factors.\newline3s3+9s23s^3 + 9s^2 can be written as 3s2(s+3)3s^2(s + 3).