find the remainder when x4+x3-2x2+x+1 is divided by x-1
Answers
Answered by
400
Answer:
Step-by-step explanation:
Given the polynomial
we have to find the remainder when above polynomial is divided by (x-1).
By remainder theorem
Hence, the remainder is 2
∴
Answered by
113
Answer:
Remainder = 2
Step-by-step explanation:
Remainder Theorem:
If p(x) be any polynomial of degree greater than or equal to 1 and p(x) is divided by the linear polynomial (x-a),then the remainder is p(a).
Here ,
p(x)=x⁴+x³-2x²+x+1,
Now,
p(x) is divided by (x-1) then the remainder is p(1)
p(1) = 1⁴+1³-2(1)²+1+1
= 1+1-2+1+1
= 4-2
= 2
Therefore,
Remainder = 2
•••♪
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