AS Day 4 - Binomial Expansion

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

Tags

CCSS.HSA.APR.C.5

Select the correct expansion of

(1 - x)⁵

• 1 − 5x + 10x² − 10x³ + 5x⁴ − x⁵

• 1 + 5x + 10x² + 10x³ + 5x⁴ + x⁵

• -1 + 5x - 10x² + 10x³ - 5x⁴ + x⁵

• 1 − 5x + 10x² + 10x³ + 5x⁴ − x⁵

Tags

CCSS.HSA.APR.C.5

Select the correct expansion of

(1 + 4x)³

• 1 + 12x + 12x² + 4x³

• 1 + 12x + 48x² + 64x³

• 1 + 3x + 3x² + x³

• 1 + 4x + 16x² + 64x³

Tags

CCSS.HSA.APR.C.5

Select the correct expansion of

(1 - 2y)³

• 1 + 6y + 12y² + 8y³

• 1 − 6y + 12y² − 8y³

• 1 − 3y + 3y² − y³

• 1 + 3y + 3y² + y³

Tags

CCSS.HSA.APR.C.5

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

Tags

CCSS.HSA.APR.C.5

Find the expansion

• x³ + x²y + xy² + y³

• x³ + 6x²y² + y³

• x³ + 6xy + y³

• x³ + 3x²y + 3xy² + y³

Tags

CCSS.HSA.APR.C.5

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

• 1140

• 190

• 4845

• 8000

Tags

CCSS.HSA.APR.C.5

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

• 576

• 36

• 144

• 1344

Tags

CCSS.HSA.APR.C.5