Question

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

Answer 1

Answer:

3

Step-by-step explanation:

Attatched below...Hope it helps!

Answer 2

Answer:

k= 3

Step-by-step explanation:

To find the value of k,If (x-1) divides the polynomial kx^3-2x^2+25x-26 without leaving the remainder, i.e. (x-1) completely divides

$k {x}^{3} - 2 {x}^{2} + 25x - 26$

To find the k,use remainder theorem

put

$x = 1$

$k {(1)}^{3} - 2 {(1)}^{2} + 25(1) - 26 = 0 \\ \\ k - 2 + 25 - 26 = 0 \\ \\ k + 25 - 28 = 0 \\ \\ k - 3 = 0 \\ \\ k = 3$

Thus, value of k= 3.

Hope it helps you.