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?
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)_/¯
x^2
x^2 -2x - 5 [ x^4 - 2x^3 + kx^2 ]
x^4 - 2x^3 - 5x^2
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k + 5 must = 0
k = -5