polynomials game

factor a=1

100

x 2 + 13 x + 36

= (x +4)(x +9)

200

x 2 + 7x + 10

= (x +2)(x +5)

300

x 2 + 8x - 20

= (x -2)(x +10)

400

x 2 + 6x + 5

= (x + 1)(x + 5)

500

x 2 - 5x + 4

= (x - 1)(x - 4)

GCF

100

12m 3 - 8m 2 + 16m

GCF = 4m

200

-36t 6 - 9t 5 + 45t 4 + 18t 3

GCF = 9t 3

300

24m 2 + 40mp - 64p 2

GCF = 8

400

Factor using GCF: 12x 4 - 18x 3 + 9x 2

= 3x 2(4x 2 - 6x + 3)

500

Factor using GCF: 42a 2 + 21a - 56

= 7(6a 2 + 3a - 8)

multiply polynomial

100

–3x(4x2 – x + 10)

= –3x(4x2) – 3x(–x) – 3x(10) = –12x3 + 3x2 – 30x

200

(x + 3)(x + 2)

= (x + 3)(x) + (x + 3)(2) = x(x) + 3(x) + x(2) + 3(2) = x2 + 3x + 2x + 6 = x2 + 5x + 6

300

(x + 3)(x + 5)

x2 + 8x + 15

400

(4x2 – 4x – 7)(x + 3)

= (4x2 – 4x – 7)(x) + (4x2 – 4x – 7)(3) = 4x2(x) – 4x(x) – 7(x) + 4x2(3) – 4x(3) – 7(3) = 4x3 – 4x2 – 7x + 12x2 – 12x – 21 = 4x3 – 4x2 + 12x2 – 7x – 12x – 21 = 4x3 + 8x2 – 19x – 21

500

(x + 2)(x3 + 3x2 + 4x – 17)

x4 + 5x3 + 10x2 – 9x – 34

factor a>1

100

9x 2 + 3x - 2

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

200

6x 2 + 7x +2

(3x + 2)(2x +1)

300

4x 2 + 23x +15

(4x + 3)(x + 5)

400

5x 2 + 6x+ 1

(5x + 1)(x + 1)

500

7x 2 - 10x - 8

(7x - 4)(x + 2)