Find the remainder when x4+x3-2x2+x+1 is divided by x-1 by long division method
Answers
Step-by-step explanation:
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Answer:
The remainder when x⁴+x³-2x²+x+1 is divided by x-1 is 2
Step-by-step explanation:
To find,
The remainder when x⁴+x³-2x²+x+1 is divided by x-1
Solution:
x³ +2x²+0x +1 →Quotient
x-1 ) x⁴+x³-2x²+x+1
x⁴-x³
+2x³-2x²
2x³-2x²
0x³-0x²+x +1
x - 1
+2 →Remainder
∴x⁴+x³-2x²+x+1 =(x³ +2x² +1)(x-1) +2
The remainder when x⁴+x³-2x²+x+1 is divided by x-1 is 2
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