Question

Find the value of k , if x -1 is a zero of the polynomial p(x) =kx2-4x+k​

Answer 1

Given:

x -1 is a zero of the polynomial p(x) =kx²-4x+k​

TO find:

The value of the k

Solution:

We have given the polynomial as:

p(x) =kx²-4x+k​

And

x -1 is a zero of the polynomial which means x = 1 is the value of the x at which the value of p(x) should be equal to 0

Now putting the value of x as 1 in the given  polynomial we get:

p(x) =kx²-4x+k​

0 =k×1²-4×1+k

k+k = 4

2k = 4

k = 4/2

k = 2​

So, The value of the k is 2