POLYNOMIAL JEOPARDY

Finding the Zeros

100

(6−x)(x+9)(x−5)x

x=6, x=-9, x= 5, x=0

200

y(x)=4x(3−x)(x+1)(x+23)

x=0,x=3,x=−1,x=−23

300

g(y)= (3y+7)(y+8)(y+2)3y

−7/3, −8, −2, 0

400

f(x)=3x(x−2)(x²−36) 

Find all the zeros

0,2,-6,6

500

f(x)=x(x+3)(x−5)(x+8)

Find all the zeros 

x=0, x=-3, x=5, x=-8

Factoring

100

x²- 3x- 18

(x-6)(x+3)

200

x³+2x²−4x−8

x²(x+2)−4(x+2)

300

x2−15x+50

(x - 5) (x - 10)

400

16x²−9y²

(4x + 3y) (4x - 3y)

500

8x³−125y³

(2x−5y)(4x²+10xy+25y²)

Vocabulary

100

The number which divides a given number is the divisor

Divisor

200

The number that is being divided

Dividend

300

We refer to this as the answer to a division problem

Quotient

400

The part left over when dividing a polynomial

Remainder

500

We need it for coding, engineering, designing, architecting, and various other real-life areas.

Polynomial Division

Arithmetic with Polynomials

100

   ( 4 + 2n³) +  ( 5n³ + 2)

7n³ + 6

200

   (a³ − 2a²) −  (3a² − 4a³)

5a³ − 5a²

300

2x(−2x − 3)

−4x² − 6x

400

  (7x − 6)(5x + 6)

35x² + 12x − 36

500

  (7k − 3)(k² − 2k + 7)

7k³ − 17k² + 55k − 21

Division with Polynomials

100

  (n² −  n − 29)÷(n − 6)

n + 5 +  1/n − 6

200

  (n² − 3n − 21)÷(n − 7)

n + 4 +  7/n − 7

300

  (−5k² +  k³ + 8k + 4)÷(−1 + k)

k² − 4k + 4 +  8/−1 +   k

400

  (2p² + 7p − 39)÷(2p − 7)

p + 7 +  10/2p − 7

500

  (50k³ + 10k² − 35k − 7)÷( 5k − 4)

10k² + 10k + 1 −  3/5k − 4