Divide using long division- 4x^4-4x^2+6x-x-4 Please show all workSol.docx

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The document shows the step-by-step work of using long division to solve the problem of dividing 4x^4-4x^2+6x by x-4. Specifically, it divides the numerator by the denominator term by term, showing the multiplication and subtraction at each line until reaching the final quotient of 984.

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Divide using long division:
4x^4-4x^2+6x/x-4
Please show all work
Solution
[4x^4-4x^2+6x]/[x-4]
x-4 ) 4x^4 - 4x^2 + 6x ( 4x^3 + 16x^2 + 60x + 246
4x^4 -16x^3
-
----------------------------------
0 + 16x^3 - 4x^2 + 6x
16x^3 -64x^2
-
-----------------------------------
0 + 60x^2 + 6x
60x^2 - 240x

-
-----------------------------------
0 + 246x
246x - 984
-
---------------------------------------
984

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