The equivalent of the expression (x⁴ - 5x² + 4x + 14)/(x + 2) is x³ - 2x² - x + 6 + 2/(x + 2)
How to determine the equivalent of the expression
From the question, we have the following parameters that can be used in our computation:
(x⁴ - 5x² + 4x + 14)/(x + 2)
Using the long division, we have
x³ - 2x² - x + 6
x + 2 | x⁴ - 5x² + 4x + 14
x⁴ + 2x³
--------------------------------------
-2x³ - 5x² + 4x + 14
-2x³ - 4x²
--------------------------------------
-x² + 4x + 14
-x² - 2x
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6x + 14
6x + 12
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2
This means that
(x⁴ - 5x² + 4x + 14)/(x + 2) = x³ - 2x² - x + 6 + 2/(x + 2)