quick math problem

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Dustin_m

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so I need to find the exact value of f(square root of 2)

f(x)= x^4-4x^3+8x^2+16x-12

I have to use synthetic division to solve. I think it's supposed to work out to zero, making it a factor, but I keep messing something up when doing the division.

then i have to write it in d(x)q(x)+r(x) form
 
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