16+45s^(3)-15s^(2)-48 s

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Identify Terms: Step Title: Identify the Terms Concise Step Description: Identify all the terms in the polynomial expression. Calculation: The terms are 16, 45s^3, -15s^2, and -48s.Factor by Grouping: Step Title: Factor by Grouping Concise Step Description: Group terms to find common factors and factor them out. Calculation: Group (45s^3 - 15s^2) and (-48s + 16). Factor out the greatest common factor from each group. For the first group, the greatest common factor is 15s^2, so we get 15s^2(3s - 1). For the second group, the greatest common factor is 16, so we get -16(3s - 1).Factor Out Common Binomial: Step Title: Factor Out the Common Binomial Concise Step Description: Factor out the common binomial factor from the two groups. Calculation: The common binomial factor is (3s - 1). Factoring this out from both groups, we get (3s - 1)(15s^2 - 16).Check Further Factoring: Step Title: Check for Further Factoring Concise Step Description: Check if the quadratic factor can be factored further. Calculation: The quadratic factor is 15s^2 - 16. This cannot be factored further as it does not have real roots.

$16+45 s^{3}-15 s^{2}-48 s$

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16+45s3−15s2−48s 16+45 s^{3}-15 s^{2}-48 s 16+45s3−15s2−48s

$16+45 s^{3}-15 s^{2}-48 s$