Factorización

FACTORIZACIÓN

1. ×2-16=0
* Factorizar:
(×+4) (×-4)

* Igualar los factores a cero:
×+4=0×-4=0

* Resolver las ecuaciones anteriores:
×= -4
×= 4

2. ×2+3×-10=0
(×+5) (×-2)

×+5=0
×-2=0

×=-5
×= 2

3. ×2-8×+15=0
(×-5) (×-3)

×-5=0
×-3=0

×= 5
×= 3

4. ×2-5×=0
(×-0) (×-5)

×-0=0×-5=0

×= 0
×= 5

5. ×2-4×+4=0
(×-2) (×-2)

×-2=0
×-2=0

×= 2
×= 2

6. ×2-2×-24=0
(×-6) (×+4)×-6=0
×+4=0

×= 6
×= -4

7. 2×2-11×-6=0
4×2-11(2×)-12=0
z= 2× z2= 4×2
z2-11z-12=0
(z-12) (z+1)=0(2×-12) (2×+1)=0
2×-12=0 2×+1=0

×= 12/2 ×= -1/2
×= 6

8. 3×2+2×-1=0
9×2+2(3×)-3=0
z=3×z2= 9×2
z2+2z-3=0
(z+3) (z-1)=0
(3×+3) (3×-1)=0
3×+3=0 3×-1=0

×= -3/3 ×= 1/3
×= -19. 3×2-7×-6=0
* 9×2-7(3×)-18=0
z= 3× z2= 9×2
z2-7z-18=0
(z-9) (z+2)=0
(3×-9) (3×+2)=0
3×-9=03×+2=0

×= 9/3 ×= -2/3
×= 3

10. 6×2-11×+3=0
* 36×2-11(6×)+18=0
z= 6× z2= 36×2z2-11×+18=0
(z-9) (z-2)=0
(6×-9) (6×-2)=0
6×-9=0 6×-2=0

×= 9/6 ×= 2/6
×= 3/2 ×= 1/3