Efetue as divisões de polinômios. A ( x ^2 +9x +14 ): (x + 7)
B (6x ^2 - 13 x +8):(3x -2)
C (12x ^2- 11x -15 ):(4x +3)
D (2x ^3 - 5x ^2 +6x -4):(x-1)
E (-15 x ^3 +2x ^2 -33x +28):(3x -4 )
F (x^3 -6x ^2- x +30 ):(x^2 -x -6 )
G (2x ^4+ 3x ^3-x^2 +7x -3 ):(2x ^2 -x +3)
H (-8x ^4 -8x ^3 +6x ^2 -16 x +8 ):(4x^3 +6x ^2 +8)
Soluções para a tarefa
Resposta:
Explicação passo-a-passo:
Efetue as divisões de polinômios.
A ( x ^2 +9x +14 ): (x + 7)
x² + 9x + 14 I____x + 7____
-x² - 7x x + 2
----------
0 + 2x + 14
- 2x - 14
-------------
0 0
B (6x ^2 - 13 x +8):(3x -2)
6x² - 13x + 8 I____3x - 2___
-6x² + 4x 2x - 3
---------------
0 - 9x + 8
+ 9x - 6
-------------
0 + 2 ( resto)
C (12x ^2- 11x -15 ):(4x +3)
12x² - 11x - 15 I___4x + 3____
-12x² - 9x 3x - 5
----------------
0 - 20x - 15
+20x + 15
--------------
0 0
D (2x ^3 - 5x ^2 +6x -4):(x-1)
2x³ - 5x² + 6x - 4 I____x - 1____
-2x³ + 2x² 2x² - 3x + 3
--------------
0 - 3x² + 6x
+ 3x² - 3x
----------------
0 + 3x - 4
- 3x + 3
-----------
0 - 1 ( resto)
E (-15 x ^3 +2x ^2 -33x +28):(3x -4 )
- 15x³ + 2x² - 33x + 28 I____3x - 4____ olha o sinal
+15x³ -20x² - 5x² - 6x - 19
----------------
0 -18x²- 33x
+18x² -24x
-----------------
0 - 57x + 28
+ 57x - 76
------------------
0 - 48 ( resto)
F (x^3 -6x ^2- x +30 ):(x^2 -x -6 )
x³ - 6x² -x + 30 I___x² -x - 6____
-x³ + x² +6x x - 5
------------------
0 - 5x² + 5x + 30
+ 5x² - 5x - 30
--------------------
0 0 0
G (2x ^4+ 3x ^3-x^2 +7x -3 ):(2x ^2 -x +3)
2x⁴ + 3x³ - x² + 7x - 3 I___2x² - x + 3_____
-2x⁴ + x³ -3x² x² + 2x - 1
---------------------
0 + 4x³ - 4x² + 7x
- 4x³ + 2x² - 6x
----------------------
0 - 2x² + 1x - 3
+2x² -1x + 3
-----------------
0 0 0
H (-8x ^4 -8x ^3 +6x ^2 -16 x +8 ):(4x^3 +6x ^2 +8)
-8x⁴ - 8x³ + 6x² - 16x + 8 I____4x³ + 6x² + 8____completa
-8x⁴ -8x³ + 6x² - 16x + 8 I_____4x³ + 6x² + 0x + 8
+8x⁴ +12x³ + 0x² +16x - 2x + 1
---------------------------------
0 + 4x³ + 6x² 0x + 8
-4x³ - 6x² + 0x - 8
-------------------------------
0 0 0 0