CBSE Class 9CBSE
Share
Notifications

View all notifications

Determine If the Following Polynomial Has (X + 1) a Factor :- X3 + X2 + X + 1 - CBSE Class 9 - Mathematics

Login
Create free account


      Forgot password?

Question

Determine if the following polynomial has (x + 1) a factor :-

x3 + x2 + x + 1

Solution

If (x + 1) is a factor of p(x) = x3 + x2 + x + 1, then p (−1) must be zero, otherwise (x + 1) is not a factor of p(x).

p(x) = x3 + x2 + x + 1

p(−1) = (−1)3 + (−1)2 + (−1) + 1

          = − 1 + 1 − 1 + 1

          = 0

Hence, x + 1 is a factor of this polynomial.

  Is there an error in this question or solution?

APPEARS IN

Video TutorialsVIEW ALL [1]

Solution Determine If the Following Polynomial Has (X + 1) a Factor :- X3 + X2 + X + 1 Concept: Factorisation of Polynomials.
S
View in app×