Q. 1 C3.7( 3 Votes )

Find the remainder using remainder theorem, when

2x3 – 4x2 + 7x + 6 is divided by x – 2

Answer :

2x3 – 4x2 + 7x + 6 is divided by x – 2


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) = 2x3 – 4x2 + 7x + 6 and we have (x – 2)


The zero of (x – 2) is 2


Now using Remainder theorem,


p(x) = 2x3 – 4x2 + 7x + 6 is divided by x – 2 then, p(2) is the remainder


p(2) = 2(2)3 – 4(2)2 + 7(2) + 6


= 16 – 16 + 14 +6


= 20


Remainder = 20


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