Q. 1 D5.0( 1 Vote )

Find the remainder using remainder theorem, when

4x3 – 3x2 + 2x – 4 is divided by x + 3

Answer :

4x3 – 3x2 + 2x – 4 is divided by x + 3


Remainder theorem states that if p(x) is any polynomial and a is any real number and If p(x) is divided by the linear polynomial (x – a) , then the remainder is p(a).


Let p(x) = 4x3 – 3x2 + 2x – 4 and we have (x + 3)


The zero of (x + 3) is – 3


Now using Remainder theorem,


p(x) = 4x3 – 3x2 + 2x – 4 is divided by x + 3 then, p(– 3) is the remainder


p(– 3) = 4(–3)3 – 3(–3)2 + 2(–3) – 4


= – 108 – 27 – 6 – 4


= – 145


Remainder = –145


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