Question

If bracket x minus root 2 bracket is a factor of x power 4 minus x square + 7 k find the value of k step by step solution

Answer 1

Answer:

Step-by-step explanation:

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

g(x) =(x-√2)

Since g(x) is a factor of p(x)

Hence the zero of g(x) when substituted in p(x) should ve equal to zero

=> x-√2 ÷0

x = √2

Putting the zero of g(x) in p(x)

p(√2] =0

=> (√2)^4 - (√2)^2 +7k = 0

4 - 2 + 7k = 0

7k + 2 =0

k = -2/7

Hope it is clear.