Respuesta :

Answer:

A.) Factor

Step-by-step explanation:

If you were to factor x^2 +5x+6 then you would get, (x+3)(x+2).

x + 3 should be the factor of [tex]x^2 + 5x + 6.[/tex]

Given that,

  • The quadratic equation is [tex]x^2 + 5x + 6[/tex].
  • And, there are factors i.e. (x+3) and (x+ 2).

Based on the above information, we need to find out the factors of the given equation:

[tex]= x^2 + 5x + 6\\\\= x^2 + 3x + 2x + 6[/tex]

[tex]= x(x + 3) + 2(x + 3)\\\\= (x + 2) (x + 3)[/tex]

Therefore neither option b, option c, and option d is correct.

Thus, we can conclude that x + 3 should be the factor of [tex]x^2 + 5x + 6.[/tex]

Learn more: brainly.com/question/14024251