The operation f(x)/g(x) by polynomial long division method yields;
f(x)/g(x) = (4x - 3)(2x² - 4x - 3) - 13
f(x) = 8x³ - 22x² - 4
g(x) = 4x - 3
We want to find; f(x)/g(x)
This is simply solved by making use of long division method of polynomials.
Thus; f(x)/g(x) = 8x³ - 22x² - 4/4x - 3
2x² - 4x - 3
_________________
4x - 3 I 8x³ - 22x² - 4
- (8x³ - 6x²)
----------------
-16x² + 0x
- (-16x² + 12x)
-------------------
-12x - 4
-(-12x + 9)
-------------
-13
We can see we have a quotient and a remainder. Thus, the final solution will be written as;
(4x - 3)(2x² - 4x - 3) + (-13)
⇒ (4x - 3)(2x² - 4x - 3) - 13
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