Wykonaj działania:
(X^3 + 2X^2 – 5X +1) : (X+4)
(-3X^3 + 26X^2 - 24X +48) : (X-8)
(-2X^5 + 4X^4 - 2X^2 +5) : (X-5)
(2X^3 +4X^2 -5X) : (X-1)
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1.
(x³ + 2x² – 5x + 1) : (x + 4) = x² - 2x + 3
- x³ - 4x²
----------
- 2x² - 5x + 1
+ 2x²+ 8x
-----------
+ 3x + 1
- 3x - 12
-----------
R = - 11
Schemat Hornera
2.
(- 3x³ + 26x² - 24x + 48) : (x - 8) = - 3x² + 2x - 8
+ 3x³ - 24x²
--------------
+ 2x² - 24x + 48
- 2x² + 16x
-------------
- 8x + 48
+ 8x - 64
-----------
R = - 16
Schemat Hornera
3.
(- 2x⁵ + 4x⁴ - 2x² + 5) : (x - 5) = - 2x⁴ - 6x³ - 30x² - 152x - 760
+ 2x⁵ - 10x⁴
--------------
- 6x⁴ - 2x² + 5
+ 6x⁴ - 30x³
---------------
- 30x³ - 2x² + 5
+ 30x³ -150x²
-------------------
- 152x² + 5
+ 152x² - 760x
------------------
- 760x + 5
+ 760x - 3800
-----------------
R = - 3795
Schemat Hornera
4.
(2x³ + 4x² - 5x) : (x - 1) = 2x² + 6x + 1
- 2x³ + 2x²
------------
+ 6x² - 5x
- 6x² + 6x
------------
+ x
- x + 1
---------
R = 1
Schemat Hornera