Question

3-Dados os polinômios: (5 pontos)
A)=2x²+5x+3
B)=4x²-2x+1
C)-3x²-x+3
Calcule:
A)A + B
B)A + C
C)A + B + C
D)B - A
E)C - B
F)A - B - C

Answer 1

Resposta:

A)A + B

$2 {x}^{2} + 5x + 3 + 4 {x}^{2} - 2x + 1 \\ 6 {x}^{2} + 3x + 4$

B)A + C

$2 {x}^{2} + 5x + 3 + ( - 3 {x}^{2} - x + 3) \\ 2 {x}^{2} + 5x + 3 - 3 {x}^{2} - x + 3 \\ - {x}^{2} + 4x + 6$

C)A + B + C

$2 {x}^{2} + 5x + 3 + 4 {x}^{2} - 2x + 1 + ( - 3 {x}^{2} - x + 3) \\ 6 {x}^{2} + 3x + 4 - 3 {x}^{2} - x + 3 \\ 3 {x}^{2} + 2x + 7$

D)B - A

$4 {x}^{2} - 2x + 1 - (2 {x}^{2} + 5x + 3) \\ 4 {x}^{2} - 2x + 1 - 2 {x}^{2} - 5x - 3 \\ 2 {x}^{2} - 7x - 2$

E)C - B

$- 3 {x}^{2} - x + 3 - (4 {x}^{2} - 2x + 1) \\ - 3 {x}^{2} - x + 3 - 4 {x}^{2} + 2x - 1 \\ - 7 {x}^{2} + x + 2$

F)A - B - C

$2 {x}^{2} + 5x + 3 - (4 {x}^{2} - 2x + 1) - ( - 3 {x}^{2} - x + 3) \\2 {x}^{2} + 5x + 3 - 4 {x}^{2} + 2x - 1 + 3 {x}^{2} + x - 3 \\ {x}^{2} + 8x - 1$