Polynomial Jeopardy

Key Features

100

3x⁴+2x³-5x²+x-4

What degree is this function?

Degree: 4

200

5x³-x²+2x-12

Type of Polynomial:

Cubic

300

2x⁴+14x²-16+9x

Standard Form:

Degree/Leading Coefficient:

Type:

Standard Form: 2x³+14x²+9x-16

Degree: 3, LC: 2

Type: Quartic

400

-5x³+3x²-14

Describe the end behavior:

As x->-inf, f(x)->+inf

As x->+inf, f(x)->-inf

500

0.3x⁴-1642x³+22.712x²-100000

Describe the end behavior:

As x->-inf, f(x)->+inf

As x->+inf, f(x)->+inf

Adding/Subtracting

100

(x+4)+(3x-6)=

4x-2

200

(3x²-4x+5)+(2x²+4x-3)=

5x²+2

300

(x+3)-(x²+2x-3)=

-x²-x+6

400

(___)+(4x²-x+3)=3x²+x+2

(-x²+2x-1)

500

(___)-(x²-3x+5)=2x²+4x-9

(3x²+x-4)

Multiplying/Pascal's

100

(x+2)(2x-4)=

2x²-8

200

(2x-3)(x²+x-4)

2x³-x²-11x+12

300

(2x-1)(3x+5)(x+3)=

6x³+25x²+16x-15

400

(x+3)⁴

x⁴+12x³+54x²+108x+81

500

(2x-5)⁵

32x⁵-400x⁴+2000x³-5000x²+6250x-3125

Factoring

100

2x³-8x

2x(x+2)(x-2)

200

x⁴+7x²+12

(x²+4)(x²+3)

300

x³-4x²-4x-16

(x-4)(x+2)(x-2)

400

135x⁵+625x²

5x²(3x+5)(9x²-15x+25)

500

x⁶-6x³-16

(x³-2)(x-2)(x²+2x+4)

Real Jeopardy

100

Which country produces the most tea?

China

200

The Treaty of Paris ended which war?

Revolutionary War

300

What do you call a baby horse?

Foal

400

What is the day after Christmas called in Canada?

Boxing Day

500

Name all four presidents on Mount Rushmore

Washington, Jefferson, Lincoln, Roosevelt