Polynomial Expansion

What is the Binomial expansion of (x + 1)⁵ ?

• x⁵ + 5x⁴ + 10x³ + 10x² + 5x + 1

• x⁵ + 5x⁴ + 15x³ + 15x² + 5x + 1

• x⁵ + 6x⁴ + 15x³ + 15x² + 6x + 1

• x⁵ + 1

• 6

• 5

• 7

• 4

How many terms are the in the expansion of (1+b)⁵

• 5

• 6

• 25

• 50

• 3

Find the coefficient of the x³ term in (x-3)¹⁰

• 3240x³

• 3240

• 262440x³

• 262440

• 256

• -64

• 42

• -12

(x − y) ³

• x³ − 3x² y + 3xy² − y³

• 16m ⁴ − 32m ³ + 24m ² − 8m + 1 

Which of the following is the coefficient for the xy³ term of the expansion (3x-2y)⁴?

• 4

• -24

• -96

• 216

Expand:
 (x - 2y)³

• x³ - 8y³

• x² - 4xy + 4y²

• x³ + 6x²y + 12xy² + 8y³

• x³ - 6x²y + 12xy² - 8y³

(4x+1)(5x−2)

• 20x² + 3x − 2

• 20x² − 11x + 5

• 20x² − 18x + 2

• 20x² − 3x − 2