Quiz about Exploring the Binomial Theorem

Question 1

Use the Binomial Theorem to expand $$(x + 2)^3$$ .

Accepted Answer

$$x^3 + 6x^2 + 12x + 8$$

Answer

$$x^3 + 3x^2 + 6x + 8$$

Answer

$$x^3 + 6x^2 + 6x + 8$$

Answer

$$x^3 + 3x^2 + 3x + 8$$

Question 2

What is the coefficient of $$x^2y^3$$ in the expansion of $$(x + y)^5$$ ?

Accepted Answer

10

Answer

5

Answer

20

Answer

30

Question 3

Find the middle term in the expansion of $$(2x - 3)^4$$ .

Accepted Answer

$$216x^2$$

Answer

$$-24x^2$$

Answer

$$54x^2$$

Answer

$$-108x^2$$

Question 4

Determine the number of terms in the expansion of $$(x + y)^{10}$$ .

Accepted Answer

11

Answer

10

Answer

12

Answer

13

Question 5

In the expansion of $$(3x + 2y)^4$$ , what is the coefficient of $$x^2y^2$$ ?

Accepted Answer

96

Answer

24

Answer

72

Answer

144

Question 6

What is the constant term in the expansion of $$(x + \frac{1}{x})^6$$ ?

Accepted Answer

20

Answer

10

Answer

15

Answer

30

Question 7

Find the sum of the coefficients in the expansion of $$(2x - 1)^5$$ .

Accepted Answer

0

Answer

1

Answer

32

Answer

243

Question 8

If the third term in the expansion of $$(x + y)^n$$ is $$120x^{n-2}y^2$$ , find $$n$$ .

Accepted Answer

7

Answer

5

Answer

6

Answer

8

Question 9

In the expansion of $$(x - 2y)^5$$ , what is the coefficient of $$x^3y^2$$ ?

Accepted Answer

-40

Answer

40

Answer

-80

Answer

80

Question 10

What is the last term in the expansion of $$(x + 3)^4$$ ?

Accepted Answer

81

Answer

3

Answer

9

Answer

27

Exploring the Binomial Theorem

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