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Algebra 2 · Chapter 11 · Lesson 11.8 · Printable PDF

The Binomial Theorem Worksheet with Answer Key

6 problems on the binomial theorem: expanding in descending powers, coefficients of a given term, the sum of coefficients and the constant term without expanding, finding n from equal coefficients, a general term, and a difference of two fifth powers. 1 page, with a worked answer key.

6 problems1 pagesanswer key
Printable The binomial theorem worksheet with answer key - Algebra 2 (Page 1 PDF preview)
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Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

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What's on the worksheet

  1. Expand with the binomial theorem and check by setting every letter to 1.
    (y + 3)^4(3p - q)^3
  2. Find the coefficients of two terms of an expansion with binomial coefficients.
  3. Find the sum of coefficients and the constant term without expanding.
  4. Find n when two coefficients in an expansion are equal.
  5. Find the general term of an expansion with x squared and one over x.
  6. Expand a difference of fifth powers and explain why odd powers vanish.

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The free lesson teaches it with worked examples and practice problems.

The binomial theorem: the lesson ›

More Chapter 11 worksheets: Counting