POLYNOMIAL REVIEW JEOPARDY

Adding or Subtracting Polynomials

100

(3x+5) + (4x+1)

7x + 6

200

(6x-7) + (4x+5)

10x-2

300

(5x²-4x+7) - (8x² -2x-2)

-3x² -2x +9

400

(5x³+4x+7-x²) - (2x-6x²+x⁴)

-x⁴+5x³+5x²+2x+7

500

(3x³ + 3x² – 4x + 5) - (x³ – 2x² + x – 4)

2x³ + 5x² – 5x + 9

Factor

100

2x² + 24x + 40

2(x + 10) (x + 2)

200

12x² + 17x + 6

(4x+3)(3x+2)

300

6x³-18x²+7x-21

(x²+7)(x-3)

400

x³ - 216

(x - 6) (x² +6x+ 36)

500

2x⁴-16x²-18

2(x+3)(x-3)(x²+1)

Multiplying Polynomials

100

(x+2)(2x+3)

2x²+7x+6

200

(x²-7)(x²+2)

x⁴-5x²-14

300

(x-4)²

x²-8x+16

400

(2x+4)(x²-x-8)

2x³+2x²-20x-32

500

DAILY DOUBLE (2x³+3)(3x² − 4x + 7)

6x⁵ − 8x⁴ + 14x³ + 9x² − 12x + 21

Dividing Polynomials

100

Divide using synthetic division:

(x³ - x² - 17x + 9) / (x + 4)

x² - 5x + 3 +  -3/(x+4)

200

Divide using synthetic division.

(x³ + 2x² - 10) / (x + 2)

x² - (10)/(x+2)

300

Divide using synthetic division.

(x⁴ + 4x² + x - 14) / (x + 1)

x³ - x² + 5x - 4 - (10)/(x+1)

400

Divide using long division.

(5x³ - 7x² - 3x + 11) / (5x - 2)

x² - x - 1 + 9/(5x - 2)

500

Divide using long division

(8x³ - 44x² + 22x - 27) / (4x² + 5) 

2x - 11 + (12x + 28)/(4x² + 5)

Grab Bag

100

Multiply:

(7x + 6)(8x² -3x + 2)

56x³ + 27x² - 4x + 12

200

Verify whether or not x - 3 is a factor of

2x³ + 19x² + 32x - 21

x - 3 is not a factor 

300

Factor:

27x³ - 8

(3x - 2)(9x² + 6x + 4)

400

Factor completely given that x - 2 is a factor

x⁴ - x³ - 14x² + 24x

x(x-3)(x+4)(x-2)

500

Simplify and multiply:

(7x³ +8x²-10x³+9x+3x³-3x-6x²)(x+1)

2x³+8x²+6x