Polynomials and Factoring

Adding and Subtracting Polynomials

100

(9x + 6x³ - 8x²) +(-5x³ + 6x)

What is x³ - 8x² + 15x

200

(7a³ - 4a² - 2a + 1) + (a³ - 1)

What is 8a³ - 4a² - 2a

300

(3n² - 4n + 1) - (8n² - 4n + 17)

What is -5n² - 16?

400

(2x² + 8) - (-3s³ + 7s -5)

What is 5s³ - 7s + 13?

500

(-k² + 7k + 5) - (2k⁴ - 3k³ - 6)

What is -2k⁴ + 3k³ - k² + 7k + 11

Multiplying Polynomials

100

(x - 4)(x + 2) =

What is x² - 2x - 8

200

(x² - 2x + 1)(x - 3)

What is x³ - 5x² + 7x - 3

300

(2a - 1)(a - 3)

What is 2a² - 7a + 3

400

(6y + 1)²

What is 36y² + 12y + 1

500

(3s + 5)(3s - 5)

What is 9s² - 25?

Finding the zero-product (solving)

100

(x + 2)(x - 8) = 0

What is -2 or 8?

200

2a² + 26a = 0

What is 0 or -13?

300

21h² = 7h

What is 0 or 1/3?

400

x² - 22x = -121

What is 11?

500

- 48n²= -12

What is 12(1 - 2n)(1 + 2n)

Factor Polynomials

100

n² +15n + 26

What is (n + 13)(n + 2)

200

b² - 5b - 14

What is (b - 7)(b + 2)

300

6z² + 13z = 5

What is 1/3 or -5/2?

400

2a⁴ + 21a³ + 49²

What is a²(2a + 7)(a + 7)

500

-7y² -23y - 6

What is -(7y + 2)(y + 3)?

Factor Completely

100

y³+ 2y² - 81y - 162

What is What is (y + 2)(y - 9)(y + 9)

200

-3y² + 36y - 108

What is -3(y - 6)²

300

a³ - 11a² -9a + 99 = 0

What is 11, 3, -3?

400

4y³ - 7y² - 16y + 28

What is (y + 2)(y - 2)(4y - 7)

500

3x⁴y - 300x²y

What is 3x²y(x - 10)(x + 10)