1. Dividing polynomials.
12x^2-4x-8 divided by 4x
12x^2-4x-8 divided by 4x
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do it like regular long division.
12x^2 / 4x = 3x remainder 0
-4x / 4x = -1 remainder 0
-8 / 4x = 0 remainder -8
so your final answer would be 3x-1 remainder -8
or if you dont want a remainder....
12x^2 / 4x = 3x
-4x / 4x = -1
-8 / 4x = -2/x
so your final answer would be 3x-1-(2/x)
12x^2 / 4x = 3x remainder 0
-4x / 4x = -1 remainder 0
-8 / 4x = 0 remainder -8
so your final answer would be 3x-1 remainder -8
or if you dont want a remainder....
12x^2 / 4x = 3x
-4x / 4x = -1
-8 / 4x = -2/x
so your final answer would be 3x-1-(2/x)
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you can try long division and get the same answer as this simple way since you only have one term to divide by, so
(12x² - 4x - 8) / 4x =
12x²/4x - 4x/4x - 8/4x
3x -1 - 2/x
(12x² - 4x - 8) / 4x =
12x²/4x - 4x/4x - 8/4x
3x -1 - 2/x
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(3*x^2 - x - 2) / x
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3x -1 - 2/x