Polynomials and Equations

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

• A
• B
• C
• D

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

• 112640
• 440
• 1760
• 440x³

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

• 1443750x⁵
• 1443750
• 7218750x⁵
• 7218750

Expand (x + 2)³

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

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

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

• 1
• 1  1
• 1  2  1
• 1  3  3  1

2x³ - 5x² + 3x + 7 ÷ x - 2

• 2x³ - x² + x + 9
• 2x² - x + 1
• 2x² - x + 1 + 9/x-2
• 2x² - 9x - 15 - 23/x-2

• A
• B
• C
• D