# Find the remainder (without division) on dividing 3x2+5x−9 by (3x+2)**.**

I came across one of the basic question of factorisation but still finds it difficult to solve

Please give me a detailed solution of this question

Book- ML Aggarwal Avichal Publication, chapter 6, question no 4(ii)

Let us assume

3x+2=0

⇒x=−2/3

∴ By remainder theorem,

when f(x) is divided by (3x+2)

Remainder r=f(−2/3)

=3(−2/3)2+5(−2/3)−9

=4/3−10/3−9

=−6/3−9

=−2−9=−11

Hence, the remainder is −11