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