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Binomial Theorem Worksheet

This worksheet provides practice problems on expanding binomials and finding specific terms using the Binomial Theorem for Grade 11 students.

Grade 11 Math AlgebraBinomial Theorem
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Includes

2 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.HSA.APR.C.5

Topics

MathAlgebraBinomial TheoremGrade 11
6 sections · Free to use · Printable
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Binomial Theorem Practice

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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

1. Expand the following binomial using the Binomial Theorem: (x + 3y)⁴

2. Expand the following binomial using the Binomial Theorem: (2a - b)⁵

3. The 3rd term in the expansion of (x + 2)⁶ is  .

4. The coefficient of the x³ term in the expansion of (x - 4)⁵ is  .

5. What is the sum of the coefficients in the expansion of (x + y)⁷?

a

7

b

49

c

128

d

256

6. Which term in the expansion of (2x + 1)⁴ contains x²?

a

1st term

b

2nd term

c

3rd term

d

4th term

7. Find the term independent of x in the expansion of (x² + 1/x)⁶.