BUENO

2. Factoriza el polinomio:
G(x; y) = x6 – 64y6

3. Factoriza:
 9x2 – 16
 16x4 – 81
 a4 – b2
 25x2 – 9y2
 36 – z10
 4x2 – y2
 36a8 – b2
 1 – 25z6
 49x4 – 4y2
 64m8n12 – 100
 81x10y6 – 169z4

4. Factoriza el polinomio:
M(x) = m30 – 8t3

5. Factoriza:
 a6 – 125
 27x9 – 8y6
 y15 – 1
 8y3 – 1
 x3y3 – 8
 m3 – r6
 8x18 – 1
 m30 – 8t3
 x3 – 8
 a6 – b9
 125a9 – b3

6. Factoriza el polinomio:
M(x) = 64x3 + 27

7. Factoriza:
 64 + 125x12
 8 + 64x9
 64 + x15
 27 + x45
 125y12 + 1
 x21 + 27
 1 + 125z6
 125a9 + b3
 27x9 + 8y6
 x3y3 + 64
 m3 + r9

8. Se utiliza para factorizar a los polinomios
de segundo grado de la siguiente forma
general.
o
P(x) = x2 + bx + c
P(x) = ax2 + bx + c

9. M(x; y) = 3x2 + 20xy + 12y2
Ejemplo:
Factoriza el siguiente polinomio

10. Factoriza:
 x2 + 9x + 20
 a2 + 12a + 32
 b2 + 7b + 10
 z2 + 8z + 15
 x2 + 4x + 3
 a2 + 7a + 6
 a2 – 7a + 12
 b2 – 11b + 18
 x2 – 11x + 24
 x2 + 9x + 8

11. ACTIVIDAD Nº 1

12. Factoriza:
 25x2 – 49
 9x4 – 16
 a6 – b4
 9x2 – 25y2
 64 – z12
 9x4 – y4
 49a10 – b6
 4 – 36z8
 81x6 – 9y4
 36m4n6 – 25
 4x14y8 – 121z6

13. Factoriza:
 x2 + 8x + 15
 x2 – 6x – 7
 x2 – 21x + 20
 y2 + 15y + 50
 3 - 5x + 2x2
 z2 – 10z – 24
a2 + 10a + 25
x2 + 26x + 169
x2 – 22x + 121
b4 + 8b2 + 16
a8 – 12a4 + 36
x6 – 8x3 + 16

14. Factoriza:
 xa + xb
 25x2 – 49
 m2 + 6m + 9
 ab – ay + bx – xy
 x7y4 – x5y6
 mx2 + xy – xz – yz
 x5 – 4x3 – x2 + 4

15. Factoriza:
 (x – 2)y – (x – 2)z
 x(x + 5) + y(x + 5) – z(x + 5)
 x4(2a – 5b) + x(2a – 5b) – (2a – 5b)
 a(p + q) + b(p + q) + c(p + q)
 mx + m2 + xy + my
 ax + x2 + ab + bx
 ax + bx + cx + ay + by + cy

16. Factoriza:
 m2 – mn + mp – np
 m3 + m2 + m + 1
 m2 + mn + mp + np
 – m – n + x(m +n)
 x(3a – 2b) – 3a + 2b
 (c + 1)(ab + 1) + (a + b)(c + 1)
 3b(2x + 3) + 2x + 3

17. Factoriza:
 x2 + y2 – 5y(x2 + y2)
 1 – x – 2y(1 – x)
 x3 – x2 + x – 1
 5y5 – 15y2z + y3 – 3z
 a5 – a4 + a – 1
 3xy – 3xz + 3x – y + z – 1
 2a2x + 2ax + 2x – a2 – a – 1