Binomials Theorem

Binomials Theorem

Multiple Choice

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

• A) 108864x⁵

• B) 48384x³

• C) 108864x³

• D) 48384x⁵

Multiple Choice

Find the 3rd term in the expansion of (x-3)⁷

• A) -5103x²

• B) 189x⁵

• C) 189

• D) -5103

Multiple Choice

Expand the expression using the Binomial Theorem.

(2x+5)⁴

• A) 2x⁴ + 40x³ + 300x² + 1000x +625

• B) 16x⁴ + 160x³ +600x² +1000x + 625

• C) 16x⁴ + 1000x³ + 600x² + 160x +625

• D) None

Multiple Choice

Expand

(b - 2)³

• A) b³ - 2b² + 4b - 8

• B) 5b³ - 20b² + 40b - 40

• C) b³ - 6b² + 12b - 8

• D) 4b³ - 12b² + 16b - 8

Multiple Choice

What is the Binomial expansion of (x + 1)⁵ ?

• A) x⁵ + 5x⁴ + 10x³ + 10x² + 5x + 1

• B) x⁵ + 5x⁴ + 15x³ + 15x² + 5x + 1

• C) x⁵ + 6x⁴ + 15x³ + 15x² + 6x + 1

• D) x⁵ + 1

Multiple Choice

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

• A) 1;3;3;1

• B) 1;4;6;4;1

• C) 1;5;10;10;5;1

• D) 1;6;15;20;15;6;1

Multiple Choice

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

• 1443750x⁵
• 1443750
• 7218750x⁵
• 7218750