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avatar+1981 

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?

 Jun 23, 2024
 #1
avatar+85 
0

pweeez use latex

\((x^2-2x-5)*f(x)=x^4-2x^3+kx^2\) well the \(x^4\) has no coeficient and both polynomials have the same amount of terms so that means f(x) is just  \(x^2\). which means k is \(\boxed{-5}\). at least i think so :P  ¯\_(ツ)_/¯

 Jun 23, 2024
 #2
avatar+129725 
+1

 

                         x^2

x^2 -2x - 5   [   x^4 - 2x^3 +  kx^2   ]

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

                      _________________

 

k + 5     must  =  0

 

k =  -5

 

cool cool cool

 Jun 23, 2024

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