Binomial Theorem

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

Tags

CCSS.HSA.APR.C.5

Expand: $\left(x+2\right)^4$   

•  $x^4+8x^3+24x^2+32x+16$  

•  $x^4+8x^3+16x^2+32x+16$  

•  $x^4+8x^3+16x^2+24x+16$  

•  $x^4+8x^3+32x^2+16x+16$  

Tags

CCSS.HSA.APR.C.5

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

• 3240x³
• 3240
• 262440x³
• 262440

Tags

CCSS.HSA.APR.C.5

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

• 112640
• 440
• 1760
• 440x³

Tags

CCSS.HSA.APR.C.5

Find the coefficient of the x² term in (2x-3)⁹

• 41472x²
• 41472
• -314928x²
• -314928

Tags

CCSS.HSA.APR.C.5

Find the 3rd term in the expansion of (x-3)⁷

• -5103x²
• 189x⁵
• 189
• -5103

Tags

CCSS.HSA.APR.C.5

Find the 6th term in the expansion of (3x+2)⁸

• 108864x⁵
• 48384x³
• 108864x³
• 48384x⁵

Tags

CCSS.HSA.APR.C.5

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

• 5760
• -4320x²
• 5760x³
• -4320

Tags

CCSS.HSA.APR.C.5

Expand
(b - 2)³

• b³ - 2b² + 4b - 8
• 5b³ - 20b² + 40b - 40
• b³ - 6b² + 12b - 8
• 4b³ - 12b² + 16b - 8

Tags

CCSS.HSA.APR.C.5

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

• 5
• 6
• 7
• 8

Tags

CCSS.HSA.APR.C.5