The Binomial Theorem

Question 1

Calculate the following combinations.

Revolt · Accepted Answer

3

Question 2

Which facts did you include in your conjecture? Check all of the boxes that apply.

Revolt · Accepted Answer

The coefficients of the terms come from rows of the triangle.; If the exponent is n, look at the entries in row n.

Question 3

Each answer choice below shows the entries in a row of Pascal’s triangle. Which lists the coefficients in the binomial expansion of (a + b)8?

Revolt · Accepted Answer

1, 8, 28, 56, 70, 56, 28, 8, 1

Question 4

Which of the following is equivalent to the expression (m + 3)4?

Revolt · Accepted Answer

4C0m430 + 4C1m331 + 4C2m232 + 4C3m133 + 4C4m034

Question 5

Think about the expansion for the binomial(2x - y2)6.The first term of this binomial is 2x.The second term of this binomial is -y2.What is the correct formula for the fifth term in this binomial expansion?

Revolt · Accepted Answer

6C4(2x)2(-y2)4

Question 6

Which of these is not a variable term found in the binomial expansion of (a + b)8? (Ignore coefficients.)

Revolt · Accepted Answer

ab6

Question 7

Calculate the following combinations.

Revolt · Accepted Answer

1

Question 8

Which expression is equivalent to 4C0m430 + 4C1m331 + 4C2m232 + 4C3m133 + 4C4m034?

Revolt · Accepted Answer

x4 + 12x3 + 54x2 + 108x + 81

Question 9

Choose the simplified form of the fifth term of the expansion.

Revolt · Accepted Answer

60x2y8

Question 10

How many terms are in the binomial expansion of ? ⇒ 9 terms

Revolt · Accepted Answer

9

The Binomial Theorem Answers

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