Q. 1 D4.3( 26 Votes )

Divide each of the following polynomials by synthetic division method and also by linear division method. Write the quotient and the remainder.

(2x4 + 3x3 + 4x - 2x2) ÷ (x+3)

Answer :

The linear division is as follows:

Representing the polynomial in first polynomial in coefficient form:

2.x4 + 3.x3 – 2.x2 + 4.x

(2, 3, -2, 4, 0)

So, the final answer is written in the following form:

Quotient = 2x3 – 3x2 + 7x – 17

Remainder = 51

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
Methods to find zeroes of a Polynomial-246 mins
Remainder Theorem and Factor Theorem38 mins
Polynomials - Zero to Hero42 mins
Genius Quiz | Polynomials40 mins
Zeros and Degrees of a Polynomial41 mins
Introduction to Polynomials37 mins
Quiz | Imp. Qs. on Algebraic Identities65 mins
Basic understanding of Polynomials37 mins
Genius Quiz | Division of Algebraic Expressions37 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