Find the remainder (without division) when 2x3−3x2+7x−8 is divided by x−1
I came across one of basic question of factorisation but still find it difficult to solve
Sir please give me a detailed solution of this question as it is very important for examination
ML Aggarwal Avichal Publication Factorisation Chapter 6, question no 4(i)
Let us assume
x−1=0⇒x=1
∴ By remainder theorem,
when f(x) is divided by (x−1)
Remainder r=f(1)
=2(1)3−3(1)2+7(1)8
=2−3+7−8
=9−11
=−2