Download - C2 mate valor numérico - 2º
![Page 1: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/1.jpg)
MATEMÁTICA
VALOR NUMÉRICO
![Page 2: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/2.jpg)
VALOR NUMÉRICO DE UN POLINOMIOEs el valor que toma el polinomio cuando a sus variables se les asignan valores particulares.
![Page 3: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/3.jpg)
APRENDIZAJEPREVIO
![Page 4: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/4.jpg)
EJEMPLO Nº 01
CLAVES
b) 33
c) 32
d) 34
e) 35
a) 30
Si:P(x) = 2x + 5
Halla P(14)
![Page 5: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/5.jpg)
EJEMPLO Nº 02
CLAVES
b) 101
c) 102
d) 103
e) 106
a) 100
Para:a = 5 b = 4
Halla el valor numérico de:
5ab + 3b – 2a
![Page 6: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/6.jpg)
EJEMPLO Nº 03
CLAVES
b) 43
c) 42
d) 44
e) 45
a) 40
Si:P(x) = 2x + 3
Calcula: P(P(P(3)))
![Page 7: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/7.jpg)
APLICO LO APRENDIDO
![Page 8: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/8.jpg)
PROBLEMA Nº 01
Para:a = 7 b = 5
Halla el valor numérico de:a) 8ab + 6b – 3ab) 6a3 – 3b3 + ab
c) 12b4 + 5a2 – 4a + 5bd) 36b + 24a – 2a2 + 3b2
![Page 9: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/9.jpg)
PROBLEMA Nº 02
Calcula el valor numérico de los siguientes polinomios para:
x = 4 , y = 5 , z = 3a) P(x, y) = 7x2 – 10y3
b) P(x, y, z) = 8z4 + 3x3 – y2
c) P(x, y, z) = 3z2 + 3x3 + 3y5
d) P(x, y, z) = y – 3x + 7z
![Page 10: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/10.jpg)
PROBLEMA Nº 03
Si:P(x, y, z) = 18x2 – 23y3 + 7z4
Calcula:a) P(1, 3, 2) – P(0, 1, 2)b) P(3, 4, 5) – P(1, 2, 3)c) P(5, 6, 4) – P(1, 0, 3)d) P(7, 4, 3) – P(2, 0, 1)
![Page 11: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/11.jpg)
CAMBIO DE VARIABLE EN UN POLINOMIO Consiste en reemplazar una nueva variable por otra, de tal manera que se obtenga un nuevo polinomio en función de la nueva variable.
![Page 12: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/12.jpg)
APRENDIZAJEPREVIO
![Page 13: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/13.jpg)
EJEMPLO Nº 01
Sea:P(a) = 3a – 1
Halla: P(x + 2)
![Page 14: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/14.jpg)
APLICO LO APRENDIDO
![Page 15: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/15.jpg)
PROBLEMA Nº 01
Si:P(x) = 2x – 3
Halla: P(z)
![Page 16: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/16.jpg)
PROBLEMA Nº 02
Si:P(n) = 2n – 3
Halla: P(x + 2)
![Page 17: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/17.jpg)
PROBLEMA Nº 03
Si:P(y) = 3y + 2
Halla: P(5x) – 5P(x)
![Page 18: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/18.jpg)
PROBLEMA Nº 04
Si:P(3x - 2) = 6x + 1
Halla: P(m)
![Page 19: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/19.jpg)
PROBLEMA Nº 05
Si:P(4x – 1) = 8x – 7
Halla: P(a + 1)
![Page 20: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/20.jpg)
PROBLEMA Nº 06
Si:P(x) = 5x + 3Q(x) = x – 7
Halla: P(Q(a))
![Page 21: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/21.jpg)
PROBLEMA Nº 07
Si:P(y) = 2y + 6
Halla:P(4x) – 4P(x)
![Page 22: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/22.jpg)
ACTIVIDAD Nº 1
![Page 23: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/23.jpg)
PROBLEMA Nº 01
Si:P(x) = 5x5 – 3x2 + 7x + 15
Halla: P(–1)
![Page 24: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/24.jpg)
PROBLEMA Nº 02
Si:P(x) = 5x2 + 7x – 12
Halla:
22
P
PPM
)2(
2)0(
)200(P
)1(
![Page 25: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/25.jpg)
PROBLEMA Nº 03
Si:P(x) = x4 – 2x2 + 1
Halla:P[P[P[P[P(1)]]]]
![Page 26: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/26.jpg)
PROBLEMA Nº 04
Si:P(x) = 7x4 – x2 – 3x – 6
Halla: P(1)
![Page 27: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/27.jpg)
PROBLEMA Nº 05
Si:P(x) = 2x – 1
Halla:M = P[P[P(0)]]
![Page 28: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/28.jpg)
PROBLEMA Nº 06
Si:P(a) = 2a + 6
Halla:P(4x) – 4P(x)
![Page 29: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/29.jpg)
PROBLEMA Nº 07
Si:P(2x - 1) = 8x + 4
Halla: P(a)
![Page 30: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/30.jpg)
PROBLEMA Nº 08
Si:P(4x + 2) = 4x – 6
Halla: P(y – 1)
![Page 31: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/31.jpg)
PROBLEMA Nº 09
Si:P(x) = 2x + 1Q(x) = x – 3
Halla: Q(P(a))
![Page 32: C2 mate valor numérico - 2º](https://reader035.vdocuments.net/reader035/viewer/2022062308/55c0dd28bb61eb505a8b4628/html5/thumbnails/32.jpg)
PROBLEMA Nº 10
Si:P(2x – 1) = 8x + 4
Halla: P(9)