6.2 Polynomials

What is the coefficient of the third term when expanding (2x + 3)^4 using Pascal's triangle?

• 10

• 8

• 4

• 6

Expand (3a - 2b)^3 using binomial theorem.

• 9a^3 - 18a^2b + 12ab^2 - 8b^3

• 27a^3 - 54a^2b + 36ab^2 - 8b^3

• 9a^3 - 12a^2b + 18ab^2 - 8b^3

• 27a^3 - 54ab^2 + 36a^2b - 8b^3

Find the 5th term in the expansion of (x + 2)^6.

• 128x^3

• 192x^2

• 36x^5

• 64x^4

A rectangular field has length (x + 3) and width (x + 2). Find the expression for the area of the field using binomial theorem.

• (x + 3) + (x + 2)

• (x + 3)(x + 2)

• (x^2 + 5x + 6)(x^2 + 5x + 6)

• (x^2 + 5x + 6)

Using Pascal's triangle, find the coefficient of the 4th term in the expansion of (4x - 2)^5.

• 80

• 16

• 25

• 40

Expand (2a + 5b)^2 using binomial theorem.

• 4a^2 + 20ab + 25b^2

• 4a^2 + 10ab + 10b^2

• 4a^2 + 20ab + 10b^2

• 4a^2 + 10ab + 25b^2

What is the 7th term in the expansion of (3x - 2)^8?

• 11232x^2

• 64x^5

• 729x^4

• 256x^3

A cube has side length (x + 2). Find the expression for the volume of the cube using binomial theorem.

• (x^3 + 8)

• (x^2 + 4)

• (x + 2)^2

• (x + 2)^3

Using Pascal's triangle, find the coefficient of the 6th term in the expansion of (5x - 1)^4.

• 30

• 20

• 100

• 25

Expand (4a - 3b)^3 using binomial theorem.

• 16a^3 - 9a^2b + 6ab^2 - 27b^3

• 16a^3 - 9a^2b + 6ab^2 - 9b^3

• 16a^3 - 12a^2b + 9ab^2 - 27b^3

• 64a^3 - 36a^2b + 18ab^2 - 27b^3