SOLUTION: Find the value of k if (x-1) is a factor of k^2x^2-2kx-3.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find the value of k if (x-1) is a factor of k^2x^2-2kx-3.       Log On


   

Question 1081917: Find the value of k if (x-1) is a factor of k^2x^2-2kx-3.
Answer by ikleyn(52781) About Me  (Show Source):
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Since (x-1) is a factor of  p(x) = k%5E2%2Ax%5E2+-+2kx+-3,  you have 

p(1) = 0,   or   k%5E2%2A1%5E2+-+2k%2A1+-3 = 0,   which gives you an equation

k%5E2+-+2k+-+3 = 0.

It is equivalent to

(k-3)*(k+1) = 0.

The roots are k= 3  and/or  k= -1.


Answer.  k= 3  or   k = -1.