Sigma and the Binomial Theorem

A _______ theorem that gives the expansion formula for (a+b)^n. (Two Words)

A form of notation using the symbol sigma to express a series is called_____ (Two Words)

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

Expand

• A

• B

• C

• D

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

What is the binomial expansion of (−3𝑥+2𝑦)³?

• 9𝑥²−12𝑥𝑦+4𝑦²

• −27𝑥³+54𝑥²𝑦−36𝑥𝑦²+8𝑦³

• 27𝑥³−54𝑥²𝑦+36𝑥𝑦²−8𝑦³

• 27𝑥³−18𝑥²𝑦−12𝑥𝑦²+8𝑦³

What does this notation represent?

∑ is

• a funky looking "E"

• theta

• pi

• sigma

• I DONT KNOW

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• Degree 3
• Degree 6
• Degree 7
• Degree 5