Question

4) Find the remainder when 2x2 – x + 1 is divided by 2x +1

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Answer 1

Answer:

for finding the remainder we need to use remainder theorom

let p(x)=x

2

+2x+1

Here, the divisor is x+1 for dividend p(x), we need to equate it to 0 and put that value of x in p(x).

−x+1=0

∴x=−1

p(−1)=(−1)

2

+2(−1)+1=0

Hence, remainder=0