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  • Find the remainnder when the polynomial f(x) =2x^4 -6x^3 -2x^2 -x +2is divided by x+2

Find the remainnder when the polynomial f(x) =2x^4 -6x^3 -2x^2 -x +2is divided by x+2

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Solution: We have,  (x +2) 

   By remainder theorem ,When f(x) is divided by (x+2) the remainder is equal to f( - 2) 

Now , \ f(x)= 2x^4-6x^3 +2x^2 -x +2 \ \Rightarrow f(-2)=2(-2)^4 -6(-2)^3+2(-2)^2-(-2)+2=32+48+8+2+2=92

Hence ,Required remainder =92

Posted by

Deependra Verma

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