Question

qual o polinomio que expressa a soma entrex²-9x+5 e 7x

Answer 1

✅ Após resolver os cálculos, concluímos que a soma dos referidos polinômios é:

$\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf S(x) = x^{2} - 2x + 5\:\:\:}}\end{gathered} }$

Sejam os polinômios:

    $\Large\begin{cases} P(x) = x^{2} - 9x + 5\\Q(x) = 7x\\S(x) = \,?\end{cases}$

Calculando a soma  "S(x)" dos polinômios:

     $\Large\displaystyle\begin{gathered} S(x) = P(x) + Q(x)\end{gathered}$

                 $\Large\displaystyle\begin{gathered} = (x^{2} - 9x + 5) + (7x)\end{gathered}$

                 $\Large\displaystyle\begin{gathered} = x^{2} - 9x + 5 + 7x\end{gathered}$

                 $\Large\displaystyle\begin{gathered} = x^{2} - 2x + 5\end{gathered}$

✅ Portanto, a soma dos polinômios é:

      $\Large\displaystyle\begin{gathered} S(x) = x^{2} - 2x + 5\end{gathered}$

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