Question from RD Sharma find the value of k if x-3 is a factor of k^2x^3 - kx^2 + 3kx - k
Borys Shumyatskiy | Certified Educator
Polynomial p(x) has a factor x-3 if and only if p(3)=0.
Here p(3)=27*k^2 -9k + 9k - 9k - k = 27*k^2 - k = 0.
So k=0 or k=1/(3√3) or -1/(3√3).
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