WHAT MUST BE ADDED TO THE POLYNOMIAL 4x 4 +2x 3 -2x 2 +x-1 so that the resulting polynomial is divisible by x 2 +2x-3
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x² + 2x - 3 ) 4x^4 + 2x³ - 2x² + x - 1 ( 2x² - 2x + 8
4x^4 + 4x³ - 6x²
(-) (-) (+)
-------------------------------------
- 2x³ + 4x² + x
- 2x³ - 4x² + 6x
(+) (+) (-)
--------------------------------------
8x² - 5x - 1
8x² +16x - 24
(-) (-) (+)
----------------------------------
- 21x +23
---------------------------------------
∴ -21x+23 should be added to this
4x^4 + 4x³ - 6x²
(-) (-) (+)
-------------------------------------
- 2x³ + 4x² + x
- 2x³ - 4x² + 6x
(+) (+) (-)
--------------------------------------
8x² - 5x - 1
8x² +16x - 24
(-) (-) (+)
----------------------------------
- 21x +23
---------------------------------------
∴ -21x+23 should be added to this
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