Respuesta :

x²+5x+6=x²+3x+2x+6=x(x+3)+2(x+3)=(x+3)(x+2)

The factors of the given equation are -3, and -2.

Given

Equation; [tex]\rm x^2+5x+6[/tex]

What is a quadratic equation?

The polynomial which has the highest degree 2 is called the quadratic equation.

The standard form of the quadratic equation is;

[tex]\rm ax^2+bx+c=0[/tex]

Therefore,

The factors of the given equation are;

[tex]\rm x^2+5x+6=0\\\\x^2+3x+2x+6=0\\\\x(x+3)+2(x+3)=0\\\\(x+3)(x+2)=0\\\\x+3=0, \ x=-3\\\\x+2=0, \ x=-2[/tex]

Hence, the factors of the given equation are -3, and -2.

To know more about the Quadratic equation click the link given below.

https://brainly.com/question/6168075