Quiz about The Binomial Theorem

Question 1

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 2

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 3

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 4

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

Accepted Answer

20

Answer

10

Answer

15

Answer

30

Question 5

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 6

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 7

Question 7.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 8

Select the correct expansion of (1 + 4x)³

Accepted Answer

1 + 12x + 48x² + 64x³

Answer

1 + 12x + 12x² + 4x³

Answer

1 + 3x + 3x² + x³

Answer

1 + 4x + 16x² + 64x³

Question 9

Expand the expression.
(2x+5)⁴

Accepted Answer

16x⁴+ 160x³ +600x² +1000x + 625

Answer

2x⁴ + 40x³+ 300x² + 1000x +625

Answer

16x⁴ + 1000x³ + 600x²+ 160x +625

Question 10

Find the 4th term in the expansion of (4x-3)⁵.

Accepted Answer

-4320x2

Answer

5760

Answer

5760x3

Answer

-4320

Question 11

Find the expansion

Accepted Answer

x³ + 3x²y + 3xy² + y³

Answer

x³ + x²y + xy² + y³

Answer

x³ + 6x²y² + y³

Answer

x³ + 6xy + y³

Question 12

What is the 6th term in the expansion of (x + 3)⁵?

Accepted Answer

243

Answer

x5

Answer

243x5

Answer

90x3

Question 13

What is the numerical coefficient of the 5th term in the binomial expansion $$\left(3z-\frac{2}{z}\right)^7$$

Accepted Answer

15120

Answer

-22680

Answer

-6048

Answer

1344

Question 14

Find the coefficient of x³in the expansions of (1 - x)¹⁵.

Accepted Answer

-455

Answer

500

Answer

455

Answer

-500

The Binomial Theorem

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