Polynomial Review

+/- Polynomials

100

(6x² + 7) + (x² - 9)

What is 7x² - 2

200

(8x² - 3x - 10) + (-11x² + 2x - 7)

What is -3x² - x - 17

300

(10x² - 7x + 2) - (3x² - 2x + 5)

What is 7x² - 5x - 3

400

(6x³ + 12x² - x) - (15x² + 7x - 8)

What is 6x³ - 3x² - 8x + 8)

500

(x² - 8 + 4x³ + 5x) - (7x³ - 3x² + 5)

What is -3x³ + 4x² + 5x - 13

Multiplying Polynomials

100

12x²(x-8)

What is 12x³-96x²

200

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

What is 8x² + 16x + 6

300

(x + 10)²

What is x² + 20x + 100

400

(9x - 2)(2x - 3)

What is 18x² - 31x + 6

500

(x + 7)(x² + 4x + 2)

What is x³ + 11x² + 30x + 14

Solving

100

5x(x - 4) = 0

What is x=0 and x=4

200

2x(x-7)(x+4)=0

What is x=0, x=7 and x=-4

300

(3x-8)(3x+8)=0

What is x=-8/3 and x=8/3

400

3x⁵+21x⁴=0

What is x=0 and x=-7

500

10x²=-8x

What is x=0 and x=-4/5

Factor by GCF

100

x² - 36x

What is x(x - 36)

200

9x³ - 18x 

What is 9x(x²-2)

300

12x⁴ + 27x²

What is 3x²(4x² + 9)

400

-54x⁵ - 18x³

What is -18x³(3x²+1)

500

12x⁴ + 18x³ - 36x² - 6x

What is 6x(2x³+3x²-6x-1)

Factor by Grouping

100

3x³ + 15x² + 2x + 10

What is (3x² + 2)(x + 5)

200

x³+ 2x² - 5x - 10

What is (x² - 5)(x + 2)

300

2x³ - 3x² + 18x - 27

What is (x²+9)(2x-3)

400

12b²+15b²+20b+25

What is (3b²+5)(4b+5)

500

2x³ + 2x² - 4x - 4

What is 2(x² - 2)(x + 1)