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Agregar.
Tu respuesta debería ser un polinomio expandido en forma estándar.

[tex]\[
(-5k^3 - 6k + 1) + (-6k^2 + 5k) = \square
\][/tex]

Sagot :

GinnyAnswer
Claro, vamos a resolver la suma de los dos polinomios paso a paso:

Dados los polinomios:
[tex]\[ P(k) = -5k^3 - 6k + 1 \][/tex]
y
[tex]\[ Q(k) = -6k^2 + 5k \][/tex]

Queremos sumar [tex]\( P(k) \)[/tex] y [tex]\( Q(k) \)[/tex]:
[tex]\[ P(k) + Q(k) = (-5k^3 - 6k + 1) + (-6k^2 + 5k) \][/tex]

Ahora juntamos los términos semejantes:
1. Términos con [tex]\( k^3 \)[/tex]:
[tex]\[ -5k^3 \][/tex]

2. Términos con [tex]\( k^2 \)[/tex]:
[tex]\[ -6k^2 \][/tex]

3. Términos con [tex]\( k \)[/tex]:
[tex]\[ -6k + 5k = -k \][/tex]

4. Términos constantes:
[tex]\[ 1 \][/tex]

Sumando todos los términos juntos, obtenemos:
[tex]\[ -5k^3 - 6k^2 - k + 1 \][/tex]

Por lo tanto, el polinomio expandido estándar es:
[tex]\[ \boxed{-5k^3 - 6k^2 - k + 1} \][/tex]
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