find the remainder when x⁴+x³-2x²+x+1 is divided by x+2
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Answer:
1
Step-by-step explanation:
For finding the remainder, we need to use remainder theorem.
let p(x)=x
3
−2x
2
+x+1
Hence, to find the remainder on dividing by x−1, we need to equate it to 0 and put that value of x in p(x).
⇒x−1=0
⇒x=1
p(1)=1
3
−2×1
2
+1+1
p(1)=1
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