Binomial Expansion - Pascal's Triangle

If the top row of Pascal's Triangle is row 0, then what is the sum of the numbers in the eighth row?

• 255

• 256

• 257

• 260

• 264

Tags

CCSS.HSA.APR.C.5

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

Tags

CCSS.HSA.APR.C.5

What is the third term for the expansion (2x-5)⁵?

• 2000x³
• 500x³
• 5000x²
• 800x³

Tags

CCSS.HSA.APR.C.5

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

• 5760
• -4320x²
• 5760x³
• -4320

Tags

CCSS.HSA.APR.C.5

Which row of Pascal's Triangle would you use to expand (x+y)³?

• 1
• 1  1
• 1  2  1
• 1  3  3  1

Tags

CCSS.HSA.APR.C.5

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

• 3240x³
• 3240
• 262440x³
• 262440

Tags

CCSS.HSA.APR.C.5

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

• 4
• -24
• -96
• 216

Tags

CCSS.HSA.APR.C.5

Select the correct expansion of

(1 - x)⁵

• 1 − 5x + 10x² − 10x³ + 5x⁴ − x⁵

• 1 + 5x + 10x² + 10x³ + 5x⁴ + x⁵

• -1 + 5x - 10x² + 10x³ - 5x⁴ + x⁵

• 1 − 5x + 10x² + 10x³ + 5x⁴ − x⁵

Tags

CCSS.HSA.APR.C.5

Select the correct expansion of

(1 + 4x)³

• 1 + 12x + 12x² + 4x³

• 1 + 12x + 48x² + 64x³

• 1 + 3x + 3x² + x³

• 1 + 4x + 16x² + 64x³

Tags

CCSS.HSA.APR.C.5

Which row of Pascal's Triangle would you use to expand (x+y)³?

• 1
• 1  1
• 1  2  1
• 1  3  3  1

Tags

CCSS.HSA.APR.C.5