Question

If (x-1) divides the polynomial kx^3-2x^2+25x-26 without remainder then find the value of k​

Answer 1

Answer:

k = -1

Step-by-step explanation:

By remainder theoram,

x = 1

Putting x = 1,

k+2+25-26 = 0      [because there is no remainder]

k = -1

Answer 2

Answer:

let kx ^3-2x^2+25x -26 = p(x)

if x-1 divides p(x ) , then the value of p(x ) =0

and value of x will be 1 .

By substituting the values , we get ,

k(1)^3-2(1)^2 +25(1)-26=0

k - 2+25-26=0

k+23-26=0

k-3=0

k=3

hope it helps...