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Hello, I need some assistance with this homework question please for precalculusHW Q15

Hello, I need some assistance with this homework question please for precalculusHW-example-1
User RodSarhan
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1 Answer

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Solution

The remainder theorems state that when a polynomial a(x) is divided by a linear polynomial b(x) whose zero is x = k, the remainder is given by r = a(k).

Given


f(x)=4x^3-10x^2+10x-4

since f(x) is divided by x - 2, the remainder is


f(2)=4(2)^3-10(2)^2+10(2)-4=4(8)-10(4)+20-4=32-40+20-4=8

Therefore, the remainder is 8

User MehdiB
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