a is prime
a is composite
F.O.I.L.
Solve
100

3x+ 8x + 4

(3x + 2)(x + 2)

100

18x- 21x - 4

(6x + 1)(3x - 4)

100

(2x + 3) (x - 5)

2x2 - 2x - 15

100

6x2 - 17x + 12 = 0

x = 4/3, 3/2

200

3x2 + 2x - 16

(3x + 8) (x - 2)

200

16x2 - 8x -15

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

200

(3x + 7) (2x - 9)

6x2 - 13x - 63

200

(4x + 3) (5x - 1)

20x2 + 11x - 3

300

5x2 - 2x - 3

(5x + 3)(x - 1)

300

35x2 - 22x - 24

(7x + 4)(5x - 6)

300

(x + 4) (x - 4)

x2 - 16

300

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

4x2 - 9

400

2x2 + 7x - 22

(2x + 11) (x - 2)

400

24x2 + 23x + 5

(8x + 5)(3x + 1)

400

(x + 1) (11x - 1)

11x2 + 10x - 1

400

(3x - 7) (5x + 1) 

15x2 -32x - 7

500

7x2 + 26x - 8

(7x - 2) (x + 4)

500

50x2 + 5x - 21

(10x + 7)(5x - 3)

500

(3x - 8)(x + 8)

3x2 + 16x - 64

500

(x - 5) (5x - 1)

5x2 -26x + 5

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