Advertisement Remove all ads

Find the value of k, if x – 1 is a factor of p(x) in the following case:- p(x) = x^2 + x + k - Mathematics

Find the value of k, if x – 1 is a factor of p(x) in the following case:- p(x) = x2 + x + k

Advertisement Remove all ads

Solution

If x − 1 is a factor of polynomial p(x), then p(1) must be 0.

p(x) = x2 + x + k

p(1) = 0

⇒ (1)2 + 1 + k = 0

⇒ 2 + k = 0 

⇒ k = −2

Therefore, the value of k is −2.

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

NCERT Class 9 Mathematics Textbook
Chapter 2 Polynomials
Exercise 2.4 | Q 3.1 | Page 44
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×