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The expression
can be factored as
.
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This expression can be factored out by taking the common factor of 5x from both terms, which gives us
. This makes it easier to analyze or graph the expression, especially when looking for its roots or analyzing its behavior.
To further explore this cubic polynomial, one could investigate its critical points and inflection points by finding the first and second derivatives. This not only reveals the shape of the graph but also shows where the function increases or decreases, enhancing your understanding of polynomial behavior in real-world applications like engineering or economics.
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