Matemáticas IACC

Desarrollo

1. = (2 x4 + 7 x3 + 3x +8) ( 4x5 + 2 x2 – 5)

= 8x9 + 4 x6 - 10 x4 + 28 x8 + 14 x5 - 35 x3 + 12 x6 + 6 x3 - 15 x + 32 x5 + 16 x2- 40

= 8 x9+ 28 x8+ 16 x6 + 46 x5 - 10 x4 - 29 x3+ 16 x2 - 15 x – 40

Entonces los coeficientes son:

a9 = 8; a8 = 28; a7 = 0; a6 = 16; a5 = 46; a4 = - 10; a3 = - 29; a2 = 16; a1= -15; ao = -40.

Grado polinomio.

= x9

2. (x4y2 + 3x3y – 5xy + 6 ) (x2 y + 2xy - 2)

= x6 y3 + 2 x5 y3 - 2 x4 y2 + 3 x5y2 + 6 x4 y2 - 6 x3y - 5 x3 y2 - 10 x2 y2 + 10 xy + 6 x2y + 12xy- 12

= x6 y3 + 2 x5 y3 + 3 x5 y2 + 4 x4 y2- 5x3y2-6x3y- 10 x2 y2 + 6 x2 y + 22 xy -12.

3. ( x4 + 3)2 + (3x2 – 2)(3x2 + 2)- (2x-2)3

= (x8 + 6x4 + 9) + (9 x4 – 4)- (8 x3- 24 x2 + 24 x – 8)

= x8 + 6 x4 + 9 + 9 x4 – 4- 8 x 3 + 24 x2 – 24 x + 8

= x8 + 15 x4 – 8 x3 + 24 x2 – 24 x + 13.

4. Datos

10 sucursales.

30 lápices = X

10 Carpetas = Y

3 Corcheteras = Z

6 Destacadores = W

5 Tacos = 2x

9 Plumones = 3x

4.1. Desarrollo

= 10 (30x +10 y + 3z + 6w + 5 (2x)+ 9(3X)

= 10 (30x + 10y + 3z + 6w + 10 x + 27x)

= 10 (67x + 10y + 3z +6w)

= 670x + 100y + 30z + 60w

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