Binomial Conditions

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

• 1
• 1  1
• 1  2  1
• 1  3  3  1

How many terms would be in the expanded form of (x - 3)⁵ ?

• 5
• 6
• 7
• 8

Expand (x + 2)³

• x³ + 6x² - 12x + 8
• x³ + 6x² + 12x + 8
• x³ - 6x² + 12x - 8
• x³ + 4x² + 12x + 6

Expand (x -1)⁴

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

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

• A
• B
• C
• D

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

How do you know what row of Pascal's triangle to use to expand a binomial?

• You use the row that has the same number of terms as the exponent
• You use the row that is the same number as the exponent
• You use the row that is on the bottom of the triangle
• You just guess

Describe the signs ( + and - ) in the expanded form of (x + 5)⁴ .

• all +
• all -
• alternating ending in -
• alternating ending in +

Describe the signs ( + and - ) in the expanded form of (x -3)⁴ .

• all +
• all -
• alternating ending in +
• alternating ending in -