Unit 7 Review Game: Polynomials and Factoring

Add and Subtract Polynomials

100

(5a2 -3) + (8a2 - 1)

13a2 -4

200

(6c2 + 3c +9) - (3c - 5)

6c2 + 14

300

(3x2 - 8) - (4x3 + x2 - 15x +1)

-4x3 + 2x2 + 15x - 9

400

(x2 + 11xy - 3y2) + (-2x2 - xy + 4y2)

-x2 + 10xy + y2

500

(8a2b - 6a) - (2a2b - 4b + 19)

6a2b - 6a + 4b - 19

Multiply Polynomials

100

x(2x² - 3x + 9)

2x³ - 3x² + 9x

200

(3x - 1)(4x + 9)

12x² +23x - 9

300

2w³(2w³ - 7w - 1) + w(5w² + 2w)

4w⁶ - 14w⁴ + 3w³ + 2w²

400

(x²y + 9y)(2x + 3y)

2x³y + 3x²y² + 18xy + 27y²

500

(6x² + x - 1)(9x - 5)

54x³ - 21x² - 14x + 5

Factoring Polynomials

100

x² - 10x - 16

(x- 8)(x - 2)

200

10x² - 3x - 27

(2x + 3)(5x - 9)

300

4x² - 36x + 81

(2x - 9)(2x - 9)

400

y⁴ - 2y³ +y2

y²(y - 1)(y - 1)

500

30x² + 25x - 20

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

Solve Polynomial Equations

100

-a² + 12a - 27 = 0

3 & 9

200

8x² - 2x = 3

3/4 & -1/2

300

f(x) = 12x2 - 24x - 63

7/2 & -3/2

400

3x3 + 24x2 + 45x = 0

0, -5, -3

500

2x3 - 10x2 + 40 = 8x

5, 2, -2

Factor Completely

100

36x4 - 4x2

4x2(3x - 1)(3x + 1)

200

x3 + 4x2 _ 25x - 100

(x + 4)(x - 5)(x + 5)

300

x3 - 10 - 5x + 2x2

(x + 2)(x2 - 5)

400

50x4 - 2x2

2x2(5x - 1)(5x + 1)

500

8x2 -2x = 3 - 12x

(2x + 3)(4x - 1)