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Factor out the greatest common factor. If the greatest common factor is 1 , just retype the polynomial. \( 18 s^{3}+4 s \)

Ask by Daniel Burns. in the United States
Jan 23,2025

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Answer

\( 2s(9s^{2} + 2) \)

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The Deep Dive

The greatest common factor (GCF) of the terms \( 18s^{3} \) and \( 4s \) is \( 2s \). Factoring this out, we have: \[ 18s^{3} + 4s = 2s(9s^{2} + 2) \] Once you factor it out, take a moment to appreciate how you can simplify expressions—much like finding common interests in a room full of people, you're narrowing down to what connects them. Polynomials are like puzzles waiting to be solved! Remember to always look for the GCF as your first clue, and keep an eye on common mistakes like forgetting to factor out the variable in addition to the coefficients. Happy factoring!

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