find the remainder when x⁴ x³ 2x² x+1 is divided by x+1 using actual division
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find the remainder when x⁴ x³ 2x² x+1 is divided by x+1 using actual division
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Answer:
p(x) = x⁴+ x³-2x²+ x + 1
By Remainder Theorem :
x - 1 = 0
x = 1
p(x) = x⁴+ x³-2x²+ x + 1
p(1) = (1)⁴ + (1)³ - 2(1)² + (1) +1
p(1) = 1 + 1 - 2 + 1
p(1) = 3 - 2
p(1) = 1
Remainder = 1
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