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

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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

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CCSS.HSA.APR.C.5

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

• 5

• 6

• 25

• 50

• 3

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CCSS.HSA.APR.C.5

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

• 2000x³
• 500x³
• 5000x²
• 800x³

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CCSS.HSA.APR.C.5

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

• 5760
• -4320x²
• 5760x³
• -4320

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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

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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

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CCSS.HSA.APR.C.5