Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • If x + 1 is a factor of the polynomial 2x^{2}+kx , then the value of k is (A)- 3 (B) 4 (C) 2 (D) -2

If  x+1 is a factor of the polynomial 2x2+kx , then the value of k is

(A) –3                         (B) 4                            (C) 2                            (D) –2 

Answers (1)

(C) 2  

Solution:

The given polynomial is 2x^{2}+kx

Let p(x)=2x^{2}+kx

It is given that \left ( x+1 \right )  is a factor of given polynomial.

Then according to factor theorem, p\left ( -1 \right )=0

\Rightarrow 2(-1)^{2}+k(-1)=0\\ \Rightarrow 2-k=0\\ \Rightarrow k=2

So the value of k is 2.

Hence option (C) is correct.

                                               

Posted by

infoexpert24

View full answer

Similar Questions

Latest Question