Question

find the value of k for which x=-2 is a root of polynomial x^2-(2k+1)x+3​

Answer 1

thank you mark me as brainliest

Answer 2

The value of k is $-\frac{5}{4}$.

Step-by-step explanation:

Given : Polynomial $x^2-(2k+1)x+3$

To find : The value of k for which x=-2 is a root of polynomial ?

Solution :

If x=-2 is the root of the polynomial then the polynomial equating zero satisfied.

Polynomial $x^2-(2k+1)x+3=0$

Substitute x=-2,

$(-2)^2-(2k+1)(-2)+3=0$

$4+4k-2+3=0$

$4k+5=0$

$4k=-5$

$k=-\frac{5}{4}$

Therefore, the value of k is $-\frac{5}{4}$.

#Learn more

Find all the zeros of the polynomial 4x^2 +5 root 2 x -3

https://brainly.in/question/3078679