Lesson 4-6: Binomial Theorem Refresher

What is a binomial?

• a polynomial of the sum or difference of two terms

• a polynomial of the sum or difference of two or more terms

• a polynomial of the sum of two terms

• a polynomial of the sum of two or more terms

Choose the right Pascal's triangle

• 
• 
• 
• 

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

• 5

• 6

• 25

• 50

• 3

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

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

• 2000x³
• 500x³
• 5000x²
• 800x³

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

• 5760
• -4320x²
• 5760x³
• -4320

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

• 1
• 1  1
• 1  2  1
• 1  3  3  1

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

• 3240x³
• 3240
• 262440x³
• 262440

Which of the following is the coefficient for the xy³ term of the expansion (3x-2y)⁴?

• 4
• -24
• -96
• 216

• 6

• 5

• 7

• 4