Can someone tell me if I'm correct? The property of polynomial multiplication that allows us to combine like terms like this: 2x^3 + 5x^3 = 7x^3 is ASSOSCIATIVE.

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Hmmm.... No. You have changed no association.
2x^3 + 5x^3 = (2+5)x^3
Look familiar, yet?

Commutative?

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