Binomial Expansion & Roots of Equations Quiz

 (x − y) ³ 

• x³ − 3x² y + 3xy² − y³
• 16m ⁴ − 32m ³ + 24m ² − 8m + 1 

 (2x³ + 1)⁵

• 32x ¹⁵ + 80x ¹² + 80x ⁹ + 40x ⁶ + 10x ³ + 1 
• x ²⁰ − 5x  + 10x² −  8y³ + 5x⁴ − y ⁵ 

(4x - y²)⁴

• 256x⁴ - 64x³y² + 16x²y⁴ - 4xy⁶ + y⁸
• 256x⁴ - 256x³y² + 96x²y⁴ - 20xy⁶ - 4y⁸

Which of the following is the coefficient for the xy³ term of the expansion (3x-2y)⁴?

• 4
• -24
• -96
• 216

How many terms are the in the expansion of (1+b)⁵

• 5

• 6

• 25

• 50

• 3

Which row of Pascal's Triangle would you use to expand (x+y)³?

• 1
• 1  1
• 1  2  1
• 1  3  3  1

If a function f has a domain

 $\left(-\infty,\ \infty\right)$  , then it is _______________.

• increasing

• extraneous

• continuous

• undefined

Suppose h is a continuous function containing the ordered pairs shown in the table. On which interval must h have a zero?

• (12.163, 12.164)

• (12.164, 12.165)

• (12.165, 12.166)

• (12.166, 12.168)

Assume f(x) is continuous over the interval [-2, 3]. The function f has at least how many zeros?

• 1

• 2

• 3

• 4

Use the Intermediate Value Theorem to find an interval between two consecutive integers that contains a zero of the function

 $h\left(x\right)=2x-x^2-\ln x$  

• [-1, 0]

• [0, 1]

• [1, 2]

• (-1, 1)