4.0 The Binomial Theorem (Honors)

What is row 7 of Pascal's Triangle?

• 1, 5, 10, 5, 1
• 1, 5, 10, 10, 5, 1
• 1, 7, 21, 35, 35, 21, 7, 1
• 1, 7, 21, 35, 21, 7, 1

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CCSS.HSA.APR.C.5

Choose the right Pascal's triangle

• 
• 
• 
• 

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CCSS.HSA.APR.C.5

Expand: $\left(a-b\right)^5$  

•  $a^5+5a^4b+10a^3b^2+10a^2b^3+5ab^4+b^5$  

•  $a^5-5a^4b+10a^3b^2-10a^2b^3+5ab^4-b^5$  

•  $a^5-5a^4b+10a^2b^3-10a^3b^2+5ab^4-b^5$  

•  $a^5-5a^4b-10a^3b^2-10a^2b^3-5ab^4-b^5$  

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CCSS.HSA.APR.C.5

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

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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

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CCSS.HSA.APR.C.5

What would be the 2nd term of the expansion of (y+4)⁴?

• 253y

• 16y³

• 64y

• 96y²

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CCSS.HSA.APR.C.5

What would be the 6th term of the expansion of (m-3)⁵?

• m⁵

• -243

• -244

• 405m

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CCSS.HSA.APR.C.5

What would be the 5th term of the expansion of (n+4)⁴?

• 257

• 256

• n⁴

• 259

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CCSS.HSA.APR.C.5