Respuesta :

kamdaniel031

Answer:

Sure, if the quadratic equation has solutions \( x = 3 \) and \( x = -4 \), then it can be factored as follows:

Step-by-step explanation:

\[

(x - 3)(x + 4) = 0

\]

Expanding this expression gives us the quadratic equation:

\[

x^2 + 4x - 3x - 12 = 0

\]

Combining like terms, we get:

\[

x^2 + x - 12 = 0

\]

So, the quadratic equation in reduced factored form is \( x^2 + x - 12 = 0 \).

mhanifa

(x - 3)(x + 4) = 0

=================

To write a quadratic equation with two given solutions, such as 3 and -4, we use the fact that if 'r' is a root of a quadratic equation, then (x - r) is a factor of the equation.

Therefore, for the solutions 3 and -4, the factors are (x - 3) and (x + 4). The polynomial in reduced factored form is obtained by multiplying these factors:

  • (x - 3)(x + 4)

The quadratic equation is therefore:

  • (x - 3)(x + 4) = 0

Otras preguntas