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  • find the remainder when the polynomial f(x) = 2x^4-6x^3+2x^2-x+2 is divided by x+2 .

find the remainder when the polynomial f(x) = 2x^4-6x^3+2x^2-x+2 is divided by x+2 .

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solution: we have ,f(x)=2x^4-6x^3+2x^2-x+2

               by remainder theorem , when f(x) is divided by (x+2), the remaindr is equal to f(-2).

Now ,      f(x)=2x^4-6x^3+2x^2-x+2

Rightarrow            f(-2)=2 imes(-2)^4-6(-2)^3+2(-2)^2-(-2)+2=92

Hence , required remainder =9.

Posted by

Deependra Verma

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