What is the remainder obtained when the polynomial: 4x³ + 2x² + x + 1/2 is divided by 2x-1?

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What is the reminder obtained when the polynomial : 4x³ + 2x² + x+ 1/2 is divided by 2x-1

A15

Answer:

p(x) ÷ (x-a) , then the reminder is p(a). 2x-1 = 0 ; 2x = 1 ; x= 1/2 reminder = p(1/2) =4(1/2)³ + 2(1/2) + 1/2 + 1/2 =1/2 + 1/2+ 1/2+ 1/2 = 4/ 2 = 2

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