Question

if x- root 2 is a factor of x4-x²+7k find the value of k ​

Answer 1

Answer:

Step-by-step explanation:

let p(x) = x^4 - x^2 + 7k

x- root 2 is a factor of p(x)

so x= root 2 is a zero of p(x)

so p(root 2) = 0

=> (root 2)^4 - (root 2)^2 + 7k =0

=> 4 - 2 +7k =0

so 7k = -2

or k= (-2)/7

Answer 2

Answer:

x=✓2

when we subitute this in the equation we get

✓2^4-✓2^2+ 7k=0

4-2+7k=0

2+7k=0

k=-2/7