Pascal's Triangle & Binomial Theorem

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

• 1
• 1  1
• 1  2  1
• 1  3  3  1

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CCSS.HSA.APR.C.5

Select the coefficients of the 5th Row in Pascal's Triangle

• 1;3;3;1

• 1;4;6;4;1

• 1;5;10;10;5;1

• 1;6;15;20;15;6;1

Tags

CCSS.HSA.APR.C.5

Choose the right Pascal's triangle

• 
• 
• 
• 

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CCSS.HSA.APR.C.5

Find the element in Pascal's Triangle. 8th row and 6 element.

• 56

• 28

• 7

• 0

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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

Tags

CCSS.HSA.APR.C.5

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

• 5

• 6

• 25

• 50

• 3

Tags

CCSS.HSA.APR.C.5

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

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

• 3240x³
• 3240
• 262440x³
• 262440

Tags

CCSS.HSA.APR.C.5

Expand (d-5)⁵

• d⁵ - 25 d⁴ + 250 d³ - 1250 d² + 3125 d - 3125

• d⁵ + 25 d⁴ + 250 d³ + 1250 d² + 3125 d + 3125

• d⁴ - 20d³ + 150d² - 750d + 3125

• d⁴ + 20d³ + 150d² + 750d + 3125

Tags

CCSS.HSA.APR.C.5

Expand
(b - 2)³

• b³ - 2b² + 4b - 8
• 5b³ - 20b² + 40b - 40
• b³ - 6b² + 12b - 8
• 4b³ - 12b² + 16b - 8

Tags

CCSS.HSA.APR.C.5