Question

dados os polinomios:
A= 6ײ+8×+7
B= 5ײ-4×+2
C= -4ײ-2×+6
a) A+B= B) A-B= C) A+C= D) C-A=
E) B +C= F) B-C= G) B- A= ​

Answer 1

Resposta:

a) A+B=

$6 {x}^{2} + 8x + 7 + 5 {x}^{2} - 4x + 2 \\ 11 {x}^{2} + 4x + 9$

B) A-B

$6 {x}^{2} + 8x + 7 - (5 {x}^{2} - 4x + 2) \\ 6 {x}^{2} + 8x + 7 - 5 {x}^{2} + 4x - 2 \\ {x}^{2} + 12x + 5$

C) A+C=

$6 {x}^{2} + 8x + 7 + ( - 4 {x}^{2} - 2x + 6) \\ 6 {x}^{2} + 8x + 7 - 4 {x}^{2} - 2x + 6 \\ 2 {x}^{2} + 6x + 13$

D) C-A=

$- 4 {x}^{2} - 2x + 6 - (6 {x}^{2} + 8x + 7) \\ - 4 {x}^{2} - 2x + 6 - 6 {x}^{2} - 8x - 7 \\ - 10 {x}^{2} - 10x - 1 \times ( - 1) \\ 10 {x}^{2} + 10x + 1$

E) B +C=

$5 {x}^{2} - 4x + 2 + ( - 4 {x}^{2} - 2x + 6) \\ 5 {x}^{2} - 4x + 2 - 4 {x}^{2} - 2x + 6 \\ {x}^{2} - 6x + 8$

F) B-C=

$5 {x}^{2} - 4x + 2 - ( - 4 {x}^{2} - 2x + 6) \\ 5 {x}^{2} - 4x + 2 + 4 {x}^{2} + 2x - 6 \\ 9 {x}^{2} - 2x - 4$

G) B- A=

$5 {x}^{2} - 4x + 2 - (6 {x}^{2} + 8x + 7) \\ 5 {x}^{2} - 4x + 2 - 6 {x}^{2} - 8x - 7 \\ - {x}^{2} - 12x - 5 \times ( - 1) \\ {x}^{2} + 12x + 5$