Q. 23.8( 4 Votes )

Find the remainder when p (x) = 4x3 + 8x2 – 17x + 10 is divided by (2x – 1).

Answer :

We have,

p (x) = 4x3 + 8x2 – 17x + 10


Also, 2x – 1 = 0


2x = 1


x =


p () = 4 ()3 + 8 ()2 – 17 () + 10


= 4 × + 8 × - 17 × + 10


= + 2 – + 10


= + 12


= + 12


= - 8 + 12


= 4


Hence, remainder = 4


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Champ Quiz | Polynomials29 mins
Polynomials - Zero to Hero42 mins
Genius Quiz | Polynomials40 mins
Zeros and Degrees of a Polynomial41 mins
Methods to find zeroes of a Polynomial-246 mins
Remainder Theorem and Factor Theorem38 mins
Genius Quiz | Division of Algebraic Expressions37 mins
Introduction to Polynomials37 mins
Quiz | Imp. Qs. on Algebraic Identities65 mins
Basic understanding of Polynomials37 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses