Algebra Chapter 8

Factor the polynomial using GCF

100

48x^3 + 8x^4

8x^3(6+x)

200

40x^3 + 36x^5

4x^3(10 + 9x^2)

300

28x^2 -8 + 4

4(7x^2 -1)

400

15x^4 + 30x^2 + 5x

5x(3x^3 + 6x + 1)

500

34x^3 + 17x^6 + 51

17(2x^3 + x^6 + 3)

Simplify standard form

100

4 + 9x

9x + 4

200

2x^2 - 34 + 4x

2x^2 + 4x - 34

300

69x^7 + 23x^4 - 19x^7

50x^7 + 23x^4

400

3x(24 + 39x^7 + 2x)

117x^8 + 6x^2 + 72x

500

19x(3 + 45x^2 + 33x^2 - 8x)

1482x^3 - 152x^2 + 57x

FOIL

100

(2x-1)^2

4x^2 -4x +1

200

(6x + 3)(2x+7)

12x^2 + 48x + 21

300

(13x-4)(8+9x)

117x^2 + 68x - 32

400

(x+2)(3x^3 - 4x^2 + 9x)

3x^4 + 2x^3 + x^2 + 18x

500

(3x+4)(6x^2 - 8 + 15x)

18x^3 + 69x^2 + 36x - 32

Factor using the 6 step method

100

9x^2 - 16

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

200

x^2 + 12x + 32

(x + 8)(x + 4)

300

12x^2 + 20x - 8

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

400

6x^2 + 5x + 1

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

500

x^2 - 81

(x - 9) (x + 9)