the binomial theorem assignments

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

• 
• 
• 
• 

Tags

CCSS.HSA.APR.C.5

What is the Binomial expansion of (x + 1)⁵ ?

• x⁵ + 5x⁴ + 10x³ + 10x² + 5x + 1

• x⁵ + 5x⁴ + 15x³ + 15x² + 5x + 1

• x⁵ + 6x⁴ + 15x³ + 15x² + 6x + 1

• x⁵ + 1

Tags

CCSS.HSA.APR.C.5

Expand (d-5)⁵

• d⁵ - 25 d⁴ + 250 d³ - 1250 d² + 3125 d - 3125

• d⁵ + 25 d⁴ + 250 d³ + 1250 d² + 3125 d + 3125

• d⁴ - 20d³ + 150d² - 750d + 3125

• d⁴ + 20d³ + 150d² + 750d + 3125

Tags

CCSS.HSA.APR.C.5

Expand: $\left(x+5\right)^5$  

•  $x^5+25x^4+250x^3+1250x^2+3125x+3125$  

•  $x^5+25x^4+250x^3+1250x^2+3125x$  

•  $x^5+25x^4+250x^3+1250x^2+3025x+3025$  

•  $x^5+25x^4+250x^3+1250x^2+3025x$  

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

Use Pascal's Triangle to expand the expression.

(2x+5)⁴

• 2x⁴ + 40x³ + 300x² + 1000x +625

• 16x⁴ + 160x³ +600x² +1000x + 625

• 16x⁴ + 1000x³ + 600x² + 160x +625

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

Expand the expression.
(2x+5)⁴

• 2x⁴ + 40x³ + 300x² + 1000x +625
• 16x⁴ + 160x³ +600x² +1000x + 625
• 16x⁴ + 1000x³ + 600x² + 160x +625

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