NCERT Solutions for Class 9 Maths Chapter 2

Important NCERT Questions

Polynomials

NCERT Books for Session 2022-2023

CBSE Board and UP Board Others state Board

EXERCISE 2.4

Page No:43

Questions No:1 part:1

# Determine which of the following polynomials has (x + 1) a factor: x³ + x² + x + 1

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(i) Let p(x) = x³ + x² + x + l

Putting x + l = 0, we get, x = -1

Using remainder theorem, when p(x) = x³ + x² + x + l is divided by x + 1, remainder is given by p(-1)

= (-1)³ + (-1)² + (-1) + 1

= -1 + 1 – 1 + 1 = 0

Since, remainder p(-1) = 0, hence x + 1 is a factor of x³ + x² + x + l.