Question

Find the value of k, if x - 1 is a factor of p(x) in each of the following :

p(x) = 2x² + kx + √2​

Answer 1

Answer:

k = -2 -√2

Step-by-step explanation:

x - 1 is factor of p(x)

So x-1=0

So x = 1

p(1)= 2 x 1^2 + k(1) + √2

2 x 1 + k + √2

2 + k +√2

= k + 2 + √2

So k = -2 -√2.

Answer 2

Answer:

k= -(2+√2).

Step-by-step explanation:

apply remiander theorem

=>x-1=0

=>x=1

according to remainder theorem p(1)=0 we get

putting x=1

p(1)=2(1)+k(1)+√2

0= 2+k+√2

2+k= -√2

k= -2-√2

k=-(2+√2)