Question

Find k if x + 1 is a factor of k^2x^2 -2kx -3

Answer 1

$\textbf{Answer is in Attachment !}$

Answer 2

x + 1 is a factor of k²x² - 2kx - 3

f(x) = k²x² - 2kx - 3

x + 1 = 0

x = - 1

=> f (-1) = k²(-1)² - 2k(-1) - 3 = 0

=> k² + 2k - 3 = 0

=> k² + 3k - k - 3 = 0

=> k(k + 3) -1(k + 3) = 0

=> (k - 1) (k + 3) = 0

=> k = +1, -3

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