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avatar+1756 

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?

 Feb 6, 2024
 #2
avatar+129830 
+1

                      x^2

x^2 - 2x  - 5  [ x^4 - 2x^3 + kx^2  ]

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

                     _________________________

                                        (k +5)x^2

 

k + 5 = 0

 

k = -5

 

cool cool cool

 Feb 6, 2024

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