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avatar+2729 

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+84 
0

pweeez use latex

(x22x5)f(x)=x42x3+kx2 well the x4 has no coeficient and both polynomials have the same amount of terms so that means f(x) is just  x2. which means k is 5. at least i think so :P  ¯\_(ツ)_/¯

 Jun 23, 2024
 #2
avatar+130477 
+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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