calcule os quocientes:
a)(x²+5x+6) : (x+2) b)(x²-7x+10) : (x-2) c)(2x²+6x+4) : (x+1)
d)(x³-6x²+11x-6) : (x-3) e)(7x³+27x²-3x+4) : (x+4) f)(2x³-6x²-x-2) : (2x-3)
g)(x³-6x²+7x+4) : (x²-2x-1)
Soluções para a tarefa
Calcule os quocientes:
a)(x²+5x+6) : (x+2)
(x² + 5x + 6)↔↔↔↔↔|___(x + 2)_____
-x² - 2x↔↔↔↔↔↔↔↔↔(x + 3) quociente
------------
0↔↔+3x + 6
↔↔↔-3x - 6
---------------------
↔↔↔↔0↔0
b)
(x²-7x+10)↔↔↔↔↔|__ (x-2)___
-x² + 2x↔↔↔↔↔↔↔(x - 5) quociente
-------------
0↔↔-5x + 10
→→→→+5x - 10
-------------------
↔↔0↔↔0
c)
(2x²+6x+4)↔↔↔↔|___ (x+1)___
-2x² - 2x↔↔↔↔↔↔(2x + 4)quociente
-----------
0→→→+4x + 4
↔↔→ -4x - 4
--------------------
↔↔0↔↔0
d)
(x³-6x²+11x-6)↔↔↔↔|__ (x-3)___
-x³ + 3x²↔↔↔↔↔↔↔(x² - 3x + 2) quociente
-------------
0↔↔-3x² + 11x
↔↔↔+3x²- 9x
------------------------
↔↔↔↔0 + 2x - 6
↔↔↔↔↔-2x + 6
-------------------------------
↔↔↔↔↔0↔↔0
e)
(7x³+27x²-3x+4)↔↔↔|___ (x+4)____
-7x³ - 28x²↔↔↔↔↔↔↔(7x² - x + 1) quociente
--------------
0↔↔-1x² - 3x
↔↔+ 1x² + 4x
--------------------
↔↔↔0↔↔1x + 4
↔↔↔↔↔-1x - 4
---------------------------
↔↔↔↔↔0↔↔0
f)
(2x³-6x² - x - 2)↔↔↔↔|____ (2x-3)____
(-41/4)↔↔↔↔↔↔ (4x²- 6x - 11)/4 ( quociente)
g)
(x³-6x²+7x+4)↔↔↔|___ (x²-2x-1)___
-x³+ 2x²+ 1x↔↔↔↔↔(x - 4)quociente
----------------
0↔-4x²+ 8x + 4
↔+4x²- 8x - 4
------------------------
↔↔0↔0↔↔0
Resposta:
a) ( x² + 5x + 6) : (x + 2) = (x + 3)
b) (x² - 7x + 10 ) : ( x - 2) = (x - 5)
c) (2x² + 6x + 4 ) : ( x + 1) = (2x + 4)
d) ( x³ - 6x² + 11x – 6) : ( x – 3) = x²-3x+2
e) ( 7x³ + 27x² - 3x + 4 ) : ( x + 4) = (7x² - x + 1)
f) (2x³ + 3x² - x – 2) : ( 2x – 3) = (4x²- 6x - 11)/4
g) ( x³ - 6x² + 7x + 4) : (x² - 2x – 1) = (x - 4)
de negrito esta o quociente