## Related questions with answers

Question

Explain how to solve a basic equation obtained in a partial fraction decomposition that involves quadratic factors.

Solution

VerifiedStep 1

1 of 2$\textbf{To solve}$ the given equation we need to make sure that polynomials on the both side are equal ...

$\textbf{So}$, the need to have same coefficients ...

$\textbf{For example}$

$\begin{align*} Ax^2+Bx&=Dx^2+Ex+F\\ \end{align*}$

$\textbf{From this}$ we can see that we need to have:

$\color{#4257b2}{A=D;\quad B=E; \quad F=0;}$

$\textbf{Thus}$, we need to make sure

$\boxed{\textcolor{#4257b2}{\text{Coefficients are equal}}}$

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