Diamond and Aalia's Jeopardy Game !!

Operation of Complex Numbers

100

TRUE or FALSE? 

i¹³ = -1

FALSE. 

i¹³ _{equals i.} 

200

The product of 6i(9 - 12i)

What is 72 + 54i?

300

Solve this equation using complex numbers. 

(-10 - 8i) - (9 - 6i)

-19 - 2i

400

The product of (8-5i)(4-6i)

What is 2 - 68i?

500

 The conjugate of 9 - 3i/i - 4

What is -39 - 3i?

Binomial Expansion

100

(3x + 4)²

What is 9x² + 24x + 16?

200

(5n + 5)³

What is 125n + 375n + 375n + 125?

300

(4a - 7)⁴

What is 256a⁴ - 1,792a³ + 4,704a² - 5,488a + 2,401?

400

(b + 4)⁵

What is b⁵ + 20b⁴ + 160b³ + 640b² + 1,280b + 1,024?

500

(2m + 1)⁷

What is 128m⁷ + 448m⁶ + 672m⁵ + 560m⁴ + 280m³ + 84m² + 14m + 1?

Rational Root Theorem

100

Use the Remainder Theorem to evaluate this function. 

f(x) = x³ - 8x² - 7x + 14  at x-6 

What is f(-6) = -448?

200

Fill in the blank. 

The rule for Step 3 of Rational Root Theorem is to ____ and cross out numbers that ____. 

simplify and repeat

300

Use the Remainder Theorem to evaluate this function. 

f(x) = x³ - 4x² + 20   at x-5

What is f(-5) = -205?

400

Determine whether or not (x+6) is a factor of (x³ - 3x² + 5x - 1). 

A. is a factor

B. is not a factor

B. is not a factor

500

The roots of 2x³ - 3x² - 11x + 6

What are -2, 1/2, and 3?

Quadratics

100

6x² - 4x - 2

12

200

7x² + 8 - 5

14

300

x² + 14x - 32

x = -2  , x = -16 

400

2x² + 6 - 15

9i, 8x²

500

x² + 8x = 3 

6, 7i

Operation of Polynomials(

100

(2x^{2 -} 8x + 3 ) - (4x - 10x² + 1 )

-8x² - 4x - 4

200

3x²-6x+14) + ( 11x-21x²+5 )

-18x² - 5x + 19 

300

f(x)=3x +9          g(x)= x² + 3

3x² + 15

400

g(x)= 4x +5

-8x - 4 +5

500

5x² - 9x + 7 ) ( 6x - 11x² + 4 ) 

-25x^{3 -} 25x² + x + 28