Question

find the value of k if x-1 is a factor of 2x^3-5x^2+ kx- x+2​

Answer 1

Answer:

k = 2

Step-by-step explanation:

Let f(x) = 2x³ - 5x² + kx - x + 2.

x-1 is a factor of f(x)

<=> f(1) = 0

<=> 2 - 5 + k - 1 + 2 = 0

<=> k - 2 = 0

<=> k = 2

Answer 2

Answer:

Step-by-step explanation:

p(x)=2x³-5x²+kx-x+2

g(x)=x-1

x-1=0

x=1

p(1)=2(1)³-5(1)²+k(1)-1+2

p(1)=2-5+k-1+2

Now according to the question p(1)=0

Therefore,

-2+k=0

k=2