Polynomials Review (Bonita Grant)

Using the Distributive Property

100

5(x + 3)

5x + 15

200

8(3x + 5y)

24x + 40y

300

4(12x - 3)

48a - 12

400

(13)(2 + 2y)

26 + 26y

500

(6c - 9)-3

—18c + 27

Adding and Subtracting Polynomials

100

(3y + 16) + (7y - 9)

10y + 7

200

(26c² + 9) - (14n² - 7)

12n² + 16

300

(6x² - 4x + 5) + (4x² + 1x - 3)

8x² - 3x + 2

400

(11n² - 6n + 26) - (-6n² + 2n + 10)

17n² - 8 + 16

500

6(8b² + 7b - 16) + 5(7b² - 6b + 25)

88b² + 7b + 29

Multiplying Polynomials by Monomials

100

2x(6x + 13)

12x² + 26x

200

4x(2x² + 4x - 3)

8x³ + 16x² - 12x

300

-9x(6x² + 14x - 7)

-54x³ - 126x² + 63x

400

1/2a(24a² - 12a + 6)

12a³ - 6a² - 3a

500

6ac²(2c² - 6c + 2)

12ac⁴ - 36ac³ + 12ac²

Multiplying Polynomials

100

(a + 3)(a - 5)

a² - 2a - 15

200

(3q + 9)(-11q + 7)

-33q² - 78q + 63

300

(2a - 16)(14a + 7)

28a² - 210a - 211

400

(2x - 6)(7x² -19x + 9)

14x³ - 80x² + 132x - 54

500

(3d² + 5d)(20d² + 12d - 6)

60d⁴ + 56³ + 42d² - 30d

Factoring Quadratic Trinomials

100

x² + 17x - 18

(x + 18)(x - 1)

200

n² - 4n - 12

(n - 2)(n + 6)

300

X² + 11x + 24

(x + 8)(x + 3)

400

2x² + 6x - 108

2(x - 6)(x + 9)

500

3x² - 12x - 135

3(x + 5)(x - 9)