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

FOIL

100

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

What is 8x² + 16x + 6

200

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

What is 18x² - 31x + 6

300

(x + 10)²

What is x² + 20x + 100

400

(x + 7)(x² + 4x + 2)

What is x³ + 11x² + 30x + 14

500

(3x - 4y)(3x + 4y)

What is 9x² - 16y²

factor trinomials

100

x² + 7x + 12

What is (x + 3)(x + 4)

200

x² + 5x - 36

What is (x - 4)(x + 9)

300

4x² - 12x + 5

What is (2x - 1)(2x - 5)

400

3x² - 17x - 28

What is (x - 7)(3x + 4)

500

30x³ - 14x² - 8x

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

factor binomials

100

x² - 36

What is (x + 6)(x - 6)

200

9x² - 49

What is (3x + 7)(3x - 7)

300

12x² - 27

What is 3(2x - 3)(2x +3)

400

98x³ - 18x

What is 2x(7x - 3)(7x + 3)

500

12x² + 18x - 12

What is 6(x + 2)(2x - 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 (x + 3)(x - 3)(2x - 3)

400

2x³ + 2x² + 4x + 4

What is 2(x² + 2)(x + 1)

500

3x⁴ + 12x³ - 75x² - 300x

What is 3x(x - 5)(x + 5)(x + 4)