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How can the Binomial Theorem be useful in helping to prove and use polynomial identities? Explain your reasoning with an example, if possible.

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User Abris
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Answer:

The binomial theorem allows you to write out the expansion of your polynomial immediately. (I feel like this is good enough)

Step-by-step explanation:

It also allows you to answer such questions as: "What is the coefficient of x20 in (1+x)100?" Its generalization to non-integer exponents allows you to get the expansion of (1−x)−1/2. There are all sorts of reasons.

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User Syberdoor
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