Dados los sgtes polinomios: A= 2x⁵-4x³+6x²-7x B=4x⁴₋6x³-2x²₊5x₋4 C=3x⁴-5x³₋6x²-9x+3 D=6x⁵-4x³+2x²-7x.... Question from @milenemasnaiki

October 2018 1 12 Report

Dados los sgtes polinomios:
A= 2x⁵-4x³+6x²-7x
B=4x⁴₋6x³-2x²₊5x₋4
C=3x⁴-5x³₋6x²-9x+3
D=6x⁵-4x³+2x²-7x₊6
Calcula
a. A+B+C+D
b. A-B-C+D
c. 2A-3B+C-D
d. (2A-3B)-(2C+D)

CesarAC A. A + B + C + D
A = $2 x^{5} - 4 x^{3} + 6 x^{2} - 7x$ +
B = $4 x^{4} - 6 x^{3} - 2 x^{2} + 5x - 4$   +
C = $3 x^{4} - 5 x^{3} - 6 x^{2} - 9x + 3$ +
D = $6 x^{5} - 4 x^{3} + 2 x^{2} - 7x + 6$ =
Rpta: $8 x^{5} + 7 x^{4} - 19 x^{3} - 18x + 5$

b. A - B - C + D
  A = $2 x^{5} - 4 x^{3} + 6 x^{2} - 7x$
-B = $-4 x^{4} + 6 x^{3} + 2 x^{2} - 5x + 4$
-C = $-3 x^{4} + 5 x^{3} + 6 x^{2} + 9x - 3$
D = $6 x^{5} - 4 x^{3} + 2 x^{2} - 7x + 6$ =
Rpta: $8 x^{5} - 7 x^{4} + 3 x^{3} + 16 x^{2} + 4x + 7$

c. 2A - 3B + C - D
2A = $4 x^{5} - 8 x^{3} + 12 x^{2} - 14x$
-3B = $-12 x^{4} + 18 x^{3} + 6 x^{2} - 15x + 12$
C = $3 x^{4} - 5 x^{3} - 6 x^{2} - 9x + 3$
-D = $-6 x^{5} + 4 x^{3} - 2 x^{2} + 7x - 6$ =
Rpta: $-2 x^{5} - 9 x^{4} + 9 x^{3} + 10 x^{2} - 31x + 9$

d. (2A - 3B) - (2C + D) --> 2A - 3B - 2C - D
  2A = $4 x^{5} - 8 x^{3} + 12 x^{2} - 14x$
-3B = $-12 x^{4} + 18 x^{3} + 6 x^{2} - 15x + 12$
-2C = $-6 x^{4} + 10 x^{3} + 12 x^{2} + 18x - 6$
     -D = $-6 x^{5} + 4 x^{3} - 2 x^{2} + 7x - 6$ =
Rpta: $-2 x^{5} - 18 x^{4} + 24 x^{3} + 28 x^{2} - 4x$