1.

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

Answer»

<P>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



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