Binomial Scenarios

Find the coefficient of x⁴ in the expansion

• 495

• 165

• 6 ¹/₉

• 55

Select the correct expansion

• 1 + 4x + 6x² + 4x³ + x⁴

• 1 + 2x + ³/₂ x² + ¹/₂x³ + ¹/₁₆ x⁴

• 1 + 2x + 3x² + 2x³ + ¹/₂ x⁴

• 1 + ¹/₂ x + ¹/₄ x² + ¹/₈x³ + ¹/₁₆ x⁴

Find the coefficient of x³ in the expansion of (1 + x)²⁰

• 1140

• 190

• 4845

• 8000

Find the coefficient of x⁴ in the expansion of (1 - x)¹⁴

• 1001

• -1001

• 364

• -364

Find the coefficient of x² in the expansion of (1 + 4x)⁹

• 576

• 36

• 144

• 1344

Find the coefficient of y³ in the expansion of (1 - 3y)¹⁴

• -9828

• 9828

• 364

• -364

Select the correct expansion of (1 + x)⁴

• 1 + 4x + 6x² + 4x³ + x⁴

• x + 3x² + 3x³ + x⁴

• 1 + 5x + 10x² + 5x³ + x⁴

• 1 + 2x² + x⁴

Select the correct expansion of

(1 + 4x)³

• 1 + 12x + 12x² + 4x³

• 1 + 12x + 48x² + 64x³

• 1 + 3x + 3x² + x³

• 1 + 4x + 16x² + 64x³

Select the correct expansion of

(1 - 2y)³

• 1 + 6y + 12y² + 8y³

• 1 − 6y + 12y² − 8y³

• 1 − 3y + 3y² − y³

• 1 + 3y + 3y² + y³

Find the expansion

• x³ + x²y + xy² + y³

• x³ + 6x²y² + y³

• x³ + 6xy + y³

• x³ + 3x²y + 3xy² + y³