Asked by Luc
Given that x-2 is a factor of x^3-4x^2-2x +k,find k.
Answers
Answered by
Steve
a little synthetic division shows that
(x³ - 4x² - 2x + k)/(x-2) = x² - 2x - 6 with remainder k-12.
So, we want a zero remainder, making k=12
(x³ - 4x² - 2x + k)/(x-2) = x² - 2x - 6 with remainder k-12.
So, we want a zero remainder, making k=12
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