Question

Sejam os polinômios f(x) = x³ + 2, g(x) = 2x³ + 4x² — 5 e h(x) = x² — 1.

Determine:

a) f(x) + h(x) =
b) h(x) — g(x) =

Answer 1

✅ Calculando adição e subtração de polinômios:

Sejam os polinômios:

      $\Large\begin{cases}f(x) = x^{3} + 2\\g(x) = 2x^{3} + 4x^{2} - 5\\h(x) = x^{2} - 1 \end{cases}$

• Calcular a soma de f(x) com h(x):

       $\Large\displaystyle\begin{gathered}f(x) + h(x) = x^{3} + 2 + x^{2} - 1 \end{gathered}$

                                  $\Large\displaystyle\begin{gathered}= x^{3} + x^{2} + 1 \end{gathered}$

        $\Large\displaystyle\begin{gathered}\therefore\:\:\:f(x) + h(x) = x^{3} + x^{2} + 1 \end{gathered}$

• Calcular a subtração de h(x) - g(x):

        $\Large\displaystyle\begin{gathered}h(x) - g(x) = x^{2} - 1 - (2x^{3} + 4x^{2} - 5) \end{gathered}$

                                   $\Large\displaystyle\begin{gathered} = x^{2} - 1 -2x^{3} - 4x^{2} + 5 \end{gathered}$

                                   $\Large\displaystyle\begin{gathered}= -2x^{3} - 3x^{2} + 4 \end{gathered}$

        $\Large\displaystyle\begin{gathered}\therefore\:\:\:h(x) - g(x) = -2x^{3} - 3x^{2} + 4 \end{gathered}$

Saiba mais:

1. https://brainly.com.br/tarefa/48846814
2. https://brainly.com.br/tarefa/49086627
3. https://brainly.com.br/tarefa/49882040
4. https://brainly.com.br/tarefa/45178597
5. https://brainly.com.br/tarefa/50183395
6. https://brainly.com.br/tarefa/41389998
7. https://brainly.com.br/tarefa/48558081
8. https://brainly.com.br/tarefa/48495104
9. https://brainly.com.br/tarefa/50992321