Respuesta :

The zeros of this function is -4 and -8

Answer:

Step-by-step explanation:

The given equation is:

[tex]f(x)=x^2+12x+32[/tex]

Simplifying the above expression, we have

[tex]f(x)=x^2+4x+8x+32[/tex]

[tex]f(x)=x(x+4)+8(x+4)[/tex]

[tex]f(x)=(x+4)(x+8)[/tex]

Thus, zeroes of the given function will be:

[tex]f(x)=0[/tex]

[tex](x+4)(x+8)=0[/tex]

[tex]x=-4 and x=-8[/tex]

Therefore the zeroes of the given function are [tex]x=-4 and x=-8[/tex].

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