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There exists a polynomial f(x) and a constant k such that
(x^2 - 2x - 5) f(x) = x^4 - 2x^3 + kx^2
What is k?

 Jan 22, 2025
 #1
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Poltnomial  division

 

                       x^2

 x^2 - 2x -5   [  x^4 -2x^3 + kx^2  ]

                        x^4 - 2x^3 -5x^2

                       _______________

 

k - -5  = 0

 

k + 5  = 0

 

k = -5

 

cool cool cool

 Jan 22, 2025

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