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A Review of Algebra

THE BINOMIAL THEOREM

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1. Review the Binomial Theorem laws. (See Involution.)

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2.

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3.

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4.

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5.

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6.

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7.

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8. Show by observation that the formula for the

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9. Indicate what the 97th term of would be.

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10. Using the expansion of in (8), derive a formula for the rth term by observing how each term is made up, then generalizing.

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Using either the formula in (8) or (10), whichever you are familiar with, find:

11. The 4th term of

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12. The 8th term of

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13. The middle term of

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14. The term not containing x in

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15. The term containing in

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Illustration from A Review of Algebra

Reference: The chapter on The Binomial Theorem in any algebra.

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