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Trinomio Ax^2+bx+c

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Trinomio Ax^2+bx+c

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Cuestionario sobre trinomios cuadráticos

Created by

Sebastian Naranjo
Sebastian Naranjo
Colombia

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Trinomio Ax^2+bx+c
 

Trinomio Ax^2+bx+cOnline version

Cuestionario sobre trinomios cuadráticos

by Sebastian Naranjo
1

¿Qué indica el coeficiente A en Ax^2+bx+c?

2

¿Qué técnica se usa para factorizar Ax^2+bx+c cuando A=1?

3

¿Qué indica el discriminante en Ax^2+bx+c?

4

Si el discriminante es negativo, ¿cuántas soluciones tiene Ax^2+bx+c?

5

¿Qué condición da una igualdad entre ambas raíces en Ax^2+bx+c?

6

¿Qué forma suele usar para resolver Ax^2+bx+c cuando A ≠ 1?

7

¿Qué condición garantizaría que Ax^2+bx+c sea factorizable en enteros?

8

¿Qué significa el término lineal b en Ax^2+bx+c?

9

Si A=2, B=5 y C= -3, ¿cuál es una posible raíz real? (usar discriminante)

10

¿Qué representa la constante c en Ax^2+bx+c?

Explicación

A es el coeficiente del término cuadrático, asociado a x^2.

Con A=1, el trinomio es más fácil de factorizar como (x+m)(x+n).

El discriminante b^2-4ac determina la cantidad de raíces.

Discriminante < 0 implica raíces complejas no reales.

Cuando b^2-4ac=0, la ecuación tiene una raíz doble.

Se recurre a factorización o completar cuadrado para hallar raíces.

Factores enteros requieren que el trinomio se descomponga en dos binomios lineales.

b es el coeficiente del término lineal.

Calcula D=25-4(2)(-3)=25+24=49; x=[-5±7]/4 → x=0.5 o x=-3.

c es el término independiente.

 
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