Polynomial Jeopardy Jeopardy Template

Factoring Polynomials

Synthetic Division

Long Division

Complex Numbers

Random

100

Factor the polynomial:

x³+7x²+10x

x(x+5)(x+2)

100

Use Synthetic Division to divide the following equation:

(x²-3x-40)/ (x+5)

x-8

100

Divide the polynomial by long division.

(3x²+7x-20) / (x+4)

3x-5

100

Factor the polynomial: (you will get a complex number solution)

16x²= -1

(4x-i)(4x+i)

100

Find all zeroes and identify the multiplicity of each.

f(x) = x(x+3)(2x - 4)²

x = 0 mult. of 1

x = -3 mult. of 1

x = 2 mult. of 2

200

Factor the polynomial:

9x³+6x²-3x

3x(3x-1)(x+1)

200

Use Synthetic Division to solve the following equation:

(x³+3x²-x+2)/(x-1)

x²+4x+3, R:5

200

Use Long Division to solve the following equation:

2x³-3x²-18x-8) / (x-4)

2x²+5x+2

200

Factor the polynomial: (you will get a complex number solution)

x⁴-12x²=64

x=+/-4,+/-2i

200

Write the following quadratic function in vertex form:

y = 2x² -20x + 67

y = 2(x-5)² + 17

300

Factor the polynomial and find the zeros:

3x³+12x²-3x=12

x=-4,-1,1

300

Use Synthetic Division to solve the following equation:

(x³+27) / (x+3)

x²-3x+9

300

Use Long Division to solve the following equation:

(x²-7x+10)/ (x+3)

x-10, R:40

300

Factor the polynomial: (you will get a complex number solution)

x⁴+4x²=12

+/- sqrt2, +/- i sqrt 6

300

Is (2x+7) a factor of 2x³ + 5x² - 19x -42 ?

Yes, no remainder left over

400

Factor the polynomial to find the zeros. You may need to use the quadratic equation.

12x³=60x²+75x

x=0, (5 +/- 5sqrt2) /2

400

Use Synthetic Division to solve the following equation:

(x⁴+3x³+x+4) / (x+3)

x³-3x²+12x-35, R:109

400

Use Long Division to solve the following equation:

(x³+5x²-3x-1) / (x-1)

x²+6x+3, R:2

400

Factor the polynomial: (you will get a complex number solution)

x² - 10x + 29 = 0

x= 5 +/- 2i

400

Is (x-1) a factor of x³ + 4x² -16x + 8

No, there is a remainder

500

Factor the polynomial to find the zeros.

x³+1=x²+x

x=-1,1

500

Use Synthetic Division to solve the following equation:

(x⁵+1) / (x+1)

x⁴-x³+x²-x+1

500

Use Long Division to solve the following equation:

(2x²+x-7) / (x-5)

2x+11, R:48

500

Factor the polynomial: (you will get a complex number solution)

x³+x²+x+1=0

x=-1,+/-i

500

Find all asymptotes of the function:

(x² + 2x - 3) / (x)

x = 0

y = x + 2