Respuesta :

Answer: [tex]x+3[/tex]

Step-by-step explanation:

Given

[tex](x+5)[/tex] is a factor of [tex]x^2+8x+15[/tex] , that is

If [tex]x^2+8x+15[/tex] is divided by [tex](x+5)[/tex], it yields 0 remainder

Solve the quadratic equation

[tex]\Rightarrow x^2+8x+15=0\\\Rightarrow x^2+3x+5x+15=0\\\Rightarrow (x+3)(x+5)=0\\\Rightarrow x=-3,-5[/tex]

Therefore, [tex]x+3[/tex] is another factor of the quadratic equation.

Answer:

x+3

Step-by-step explanation:

its A or first option or (x+3)

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