Factorizacion

1. X2 – 16 = 0
(4) (-4) La suma de 4 y -4 SI es 0
X1= -4 x2= 4

2. X2 + 3x – 10 = 0
(-2) (5) La suma de -2 y 5 SI es 3
(x-2) (x+5)= 0
X1= 2 x2= -5

3. x2 -8x + 15 = 0
(-3) (-5) La suma de -3 y -5 SI es -8
(x-3) (x-5) = 0
x1 = 3 x2 = 5

4. x2 -5x = 0(x+0) (x-5) = x(x-5) = 0
x1= 0 x2= 5

5. x2 – 4x + 4 = 0
(-2) (-2) La suma de -2 y -2 SI es -4
(x-2) (x-2) = 0
X1 = 2 x2 = 2

6.x2 - 2x – 24 = 0
(-6) (4) La suma de -6 y 4 SI es -2
(x – 6) (x + 4) = 0
X1 = 6 x2 = -4

7. 2x2 - 11x - 6 = 0
4x2 - (2) (11x) -12 = 0
4x2 - 11(2x) - 12 = 0
z= 2x z2 = 4x2
z2 - 11z - 12 = 0
(-12) (1) La suma de -12 y 1 SI es -11
(z -12) (z + 1) = 0
(2x - 12)(2x + 1) = 0
x1 = = 6 x2 =

8. 3x2 + 2x – 1 = 0
9x2 + (3) (2x) -3 = 0
9x2 + 2 (3x) -3 = 0
Z= 3x z2 = 9x2
Z2 + 2z – 3 = 0
(3)(-1) La suma de 3 y -1 SI es 2
(z + 3) (z – 1)= 0
(3x + 3) (3x – 1) = 0
X1 = = -1 x2 =

9. 3x2 - 7x - 1 = 0
9x2 - (3) (7x) - 18 = 09x2 - 7 (3x) - 18 = 0
z = 3x z2 = 9x2
z2 + 7z - 18 = 0
(9) (-2) La suma de 9 y -2 NO es -7
(-9) (2) La suma de -9 y 2 SI es -7
(z -9) (z + 2)= 0
(3x - 9) (3x + 2) = 0
X1 = =3 x2 =

10. 6x2 - 11x + 3 = 0
36x2 - (6) (11x) + 18 = 0
36x2 - 11 (6x) + 18 = 0
z =6x z2 = 36x2
z2 - 11z + 18 = 0
(-9) (-2) La suma de -9 y -2 SI es -11
(z - 9) (z - 2) = 0
(6x - 9) (6x - 2) = 0
X1 = = x2 ==