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The polynomial
factors to
.
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Ah, a cubic polynomial! Did you know that cubic equations like this one have been studied since ancient times? The solutions to cubic equations were developed by mathematicians like Carthaginian Archimedes and later refined by Italian mathematicians in the Renaissance. They faced a lot of challenges, particularly because the techniques were often more art than science!
Now, let’s spice up your math skills! When factoring or finding roots, many people forget to check for rational roots using the Rational Root Theorem – don’t be that person! Start by testing values like ±1, ±2, or ±3, as they often help you find a root, making it easier to factor the cubic into simpler quadratic form. Happy solving!