Faktorkanlah 1. 2x2 + 13x -7 2. 12y2 -17y -5 3. 3x2 -7x -6 4. 6x2 -x -5 5. -3x2 +11 +6

1.) 2x^2 + 13x - 7 =
2x^2 + 14x - x - 7 =
(2x^2 + 14x) - (x + 7) =
2x (x + 7) - 1 (x - 7) =
(2x - 1) (x - 7)

2.) 12y^2 - 17y - 5 =
12y^2 - 20y + 3y - 5 =
(12y^2 - 20y) + (3y - 5) =
4y (3y - 5) + 1 (3y - 5) =
(4y + 1) (3y - 5)

3.) 3x^2 - 7x - 6 =
3x^2 - 9x + 2x - 6 =
(3x^2 - 9x) + (2x - 6) =
3x (x - 3) + 2 (x - 3) =
(3x + 2) (x - 3)

4.) 6x^2 - x - 5 =
6x^2 - 6x + 5x - 5 =
(6x^2 - 6x) + (5x - 5) =
6x (x - 1) + 5 (x - 1) =
(6x + 5) (x - 1)

5.) 3x^2 + 11x + 6 =
3x^2 + 9x + 2x + 6 =
(3x^2 + 9x) + (2x + 6) =
3x (x + 3) + 2 (x + 3) =
(3x + 2) (x + 3)