☔ 17.9 Binomial Theorem

Find the coefficient of the x⁵ term in (5x+1)¹¹.  

• 1443750x⁵
• 1443750
• 7218750x⁵
• 7218750

Tags

CCSS.HSA.APR.C.5

Find the 6th term in the expansion of (3x+2)⁸

• 108864x⁵
• 48384x³
• 108864x³
• 48384x⁵

Tags

CCSS.HSA.APR.C.5

Expand the expression using the Binomial Theorem.
(2x+5)⁴

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

Tags

CCSS.HSA.APR.C.5

What is row 7 of Pascal's Triangle?

• 1, 5, 10, 5, 1
• 1, 5, 10, 10, 5, 1
• 1, 7, 21, 35, 35, 21, 7, 1
• 1, 7, 21, 35, 21, 7, 1

Tags

CCSS.HSA.APR.C.5

Expand

• A
• B
• C
• D

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CCSS.HSA.APR.C.5

• A
• B
• C
• D

Tags

CCSS.HSA.APR.C.5

Find the coefficient of the x³ in (2x+1)¹²

• 112640
• 440
• 1760
• 440x³

Tags

CCSS.HSA.APR.C.5

Find the coefficient of x⁴ in the expansion

• 495

• 165

• 6 ¹/₉

• 55

Tags

CCSS.HSA.APR.C.5

• 84x⁵y²
• 36x⁴y³
• x⁵y²
• 6x²y⁵

Tags

CCSS.HSA.APR.C.5

Tags

CCSS.HSA.APR.C.5