Polynomials

Distributing

100

Simplify:

5x(3x + 8)

What is 15x² + 40x

200

Simplify: 

2a(4a - 6) + 3a - 5

What is 8a² - 9a - 5

300

Simplify: 

7n² - 2(4n + 9) + 3n

 

 

What is 7n² - 5n + 9

400

Simplify: 

-x(x + 1) + 8x - 2(x - 4)

What is 5x + 7

500

Simplify: 

1/2x(24x - 10) - (x - 3) 

What is 11x - 2

Adding/Subtracting Polynomials

100

(5x² - 6x + 16) + (x² - x - 2)

What is 6x² - 7x + 14

200

(3x² + 3x - 7) - (2x² + 3x + 7)

What is x² - 14

300

(-2x² - 4x + 1) - (9x² + 8x - 6)

What is -11x² - 12x + 7

400

(2x³ + 7x² + x) + (x² + 5x - 11)

What is 2x³ + 8x² + 6x - 11

500

(10x²y - 3xy² + 5xy) + (-7x²y - 5xy² + 2xy)

What is 3x²y - 8xy² + 7xy

Multiplying Polynomials

100

(x+3)(x+4)

What is x² + 7x + 12

200

(x + 10)(x -10)

What is x² - 100

300

(2x + 1)(3x - 10)

What is 6x² - 17x - 10

400

(x + h)²

What is x² + 2xh + h²

500

(x - 2)³

What is x³ - 6x² + 12x - 8

Greatest Common Factor

100

15 and 33

What is 3

200

12, 18, and 24

What is 6

300

3, 5, and 7

What is 1

400

20, 15, and 50

What is 5

500

60, 30, 20, and 100

What is 10

Factoring Polynomials

100

12a²b² + 18a²b - 24b²

What is 6b(2a²b + 3a² - 4b)

200

15x⁷ - 33x⁶

What is 3x⁶(5x - 11)

300

20x⁷y - 15x⁴y - 50x³y

What is 5x³y(4x⁴ - 3x - 10)

400

3h³ + 5h - 7h²

What is h(3h² + 5 - 7h)

500

60x⁴y + 30x³y + 20x²y - 100xy

What is 10xy(6x³ + 3x² + 2x - 10)