Polynomial Jeopardy

Multiplying Polynomials

100

(x + 4)(x + 2)

x² + 6x + 8

200

(x² + 2x)(3x + 4)=

3x³ + 10x² + 8x

300

(x - 5)(x² + 3x - 4)=

x³ - 2x² - 19x + 20

400

(x² + 2x + 7)(x² - x + 7)=

x⁴ + x³ + 12x² + 7x + 49

500

(x² - 9x + 22)(3x² - 2x - 7)=

3x⁴ - 29x³ + 77x² +19x + 154

Adding & Subtracting Polynomials

100

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

5x - 1

200

(3x² + 4x - 5) - (x² - 5 + 3x)

2x² + x

300

(6x² - 14x - 5) + (3x³ + 3x² - 10)=

3x³ + 9x² - 14x - 15

400

(3x + 3x² - 3x³ - x⁴) - (3x² + 3x - x⁴ - 3x³)=

0

500

Combine like terms:

4x² - 3x + 12 - x² - 5

3x² - 3x + 7

Finding the GCF

100

Factor out the GCF:
3x² + 12x

3x(x² +4)

200

14n² + 10n

2n(7n + 5)

300

2x⁵ + 4x⁴ - 2x²

2x²(x³ + 2x² - 1)

400

6y³ + 15y⁴ + 33

3(2y³ + 5y⁴ + 11)

500

4x⁴ + 16x³ - 8x²

4x²(x² + 4x - 2)

Factoring Trinomials

100

x² + 8x + 12

(x + 6)(x + 2)

200

m² - 11m + 18

(m - 9)(m - 2)

300

x² + 16x + 64

(x + 8)(x + 8)

400

x² - 3x - 70

(x - 10)(x + 7)

500

x² + 13x - 30

(x + 15)(x - 2)

Factoring Trinomials (cont.)

100

5n² + 26n + 5

(5n+1)(n+5)

200

3x² + 7x + 4

(3x + 4)(x + 1)

300

6x² + x - 2

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

400

9x² - 1

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

500

30t³ + 50t² - 20t

5t(3t - 1)(2t + 4)