Adv
Rajan@2021
  • 0
Guru

Using remainder theorem, find the remainder on dividing f(x) by (x+3) where f(x)=3x 3 +7x 2 −5x+1

  • 0

A basic question from factorisation in which we are to find the value of X from given polynomial

ML Aggarwal Avichal Publication Factorisation chapter 6 Question no 2(ii)

Share

1 Answer

  1. We know that the remainder theorem states that if a polynomial f(x) is divided by (x−a), the remainder is f(a).

    Here, we have the polynomial f(x)=3x
    3
    +7x
    2
    −5x+1 which is divided by (x+3), therefore, by remainder theorem, the remainder is:

    R=f(−3)=3(−3)
    3
    +7(−3)
    2
    −5(−3)+1=(3×−27)+(7×9)+15+1=−81+63+15+1=79−51=3

    Hence, the remainder is −3.

    • 0
Leave an answer

Leave an answer

Browse

Choose from here the video type.

Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs".

Captcha Click on image to update the captcha.

Related Questions