Pascals Triangle and Binomial expansion quiz

What is the binomial expansion of (x + 1)⁸ ?

• x⁸ + 1

• x⁸ + 8x⁷ + 16x⁶ + 24x⁵ + 32x⁴ + 24x³ + 16x² + 8x + 1

• x⁸ + 7x⁷ + 21x⁶ + 35x⁵ + 35x⁴ + 21x³ + 7x² + 1

• x⁸ + 8x⁷ + 28x⁶ + 56x⁵ + 70x⁴ + 56x³ + 28x² + 8x + 1

• x⁸ + 8x⁷ + 28x⁶ + 70x⁴ + 56x³ + 28x² + 8x + 1

What is row 17, term 5 in Pascal's triangle?

• 2,380

• 4,368

• 6,188

• 12,376

• 5,284

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

What is the Binomial expansion of (a − b)⁷ ?

• a⁷ − b⁷

• a⁷ + 7a⁶b + 21a⁵b² + 35a⁴b³ + 35a³b⁴ + 21a²b⁵ + 7ab⁶ + b⁷

• a⁷ + 7a⁶b − 21a⁵b² + 35a⁴b³ − 35a³b⁴ + 21a²b⁵ − 7ab⁶ + b⁷

• a⁷ − 7a⁶b + 21a⁵b² − 35a⁴b³ + 35a³b⁴ − 21a²b⁵ + 7ab⁶ − b⁷

Which row of the Pascal's Triangle is the number 6 first found in?

• 3rd

• 4th

• 5th

• 6th

• 2nd

What number can always be found at the left side of the triangle?

• 0

• 1

• 2

• 3

• 4

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

• 5760
• -4320x²
• 5760x³
• -4320

Expand the expression.
(2x+5)⁴

• 2x⁴ + 40x³ + 300x² + 1000x +625
• 16x⁴ + 160x³ +600x² +1000x + 625
• 16x⁴ + 1000x³ + 600x² + 160x +625

Tags

CCSS.HSA.APR.C.5