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Sagot :

Answer:

k = - 2

Step-by-step explanation:

If (x - 1) is a factor of f(x) then f(1) = 0

f(x) = [tex]x^{10}[/tex] - k[tex]x^{7}[/tex] - 3 , then

f(1) = [tex](1)^{10}[/tex] - k[tex](1)^{7}[/tex] - 3 = 0 , that is

1 - k - 3 = 0

- 2 - k = 0 ( add 2 to both sides )

- k = 2 ( multiply both sides by 1 )

k = - 2