Answered

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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 Q15 class=

Sagot :

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

[tex]f(x)=4x^3-10x^2+10x-4[/tex]

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

[tex]f(2)=4(2)^3-10(2)^2+10(2)-4=4(8)-10(4)+20-4=32-40+20-4=8[/tex]

Therefore, the remainder is 8

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