Question

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)

Answer 1

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

Answer 2

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