Binomial Theorem

What is row 5 of Pascal's Triangle?

• 1, 2, 1
• 1, 3, 3, 1
• 1, 4, 9, 4, 1
• 1, 5, 10, 10, 5, 1

Tags

CCSS.HSA.APR.C.5

What is row 6 of Pascal's Triangle?

• 1, 6, 15, 15, 6, 1

• 1, 6, 15, 20, 15, 6, 1

• 1, 7, 21, 35, 35, 21, 7, 1
• 1, 7, 21, 35, 21, 7, 1

• A

• B

• C

• D

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

• 3240

• -3240

• 262440

• -262440

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

Find the coefficient of the x² term in (2x-3)⁹

• 41472

• -41472

• 314928

• -314928

Find the coefficient of the x⁹ term in (3x-1)¹²

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

Find the 2nd term in the expansion of 
(2b + 1)³

• 12b²
• 6b
• 8b³
• 4b²

Tags

CCSS.HSA.APR.C.5

Expand (x -1)⁴

• x⁴ + 4x³ - 6x² + 4x - 1
• x⁴ + 4x³ + 6x² + 4x + 1
• x⁴ - 4x³ + 6x² - 4x + 4
• x⁴ - 4x³ + 6x² - 4x + 1

Tags

CCSS.HSA.APR.C.5