What are the zeros of the polynomial function $f (x) = (x + 6) (x + 8) (x + 15)$ $f(x)=(x+6)(x+8)(x+15)$ ?

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Answer 1 · 2016-05-31T02:53:55

$x = - 6, - 8, - 15$ $x=-6, -8, -15$

We can set $f (x) = 0$ $f(x)=0$ , then the 3 quantities can each be set to 0:

$f (x) = 0 = (x + 6) (x + 8) (x + 15)$ $f(x)=0=(x+6)(x+8)(x+15)$

and so we can find the 0's:

$(x + 6) = 0$ $(x+6)=0$
$x = - 6$ $x=-6$

$(x + 8) = 0$ $(x+8)=0$
$x = - 8$ $x=-8$

$(x + 15) = 0$ $(x+15)=0$
$x = - 15$ $x=-15$

What are the zeros of the polynomial functionf(x)=(x+6)(x+8)(x+15)f(x)=(x+6)(x+8)(x+15)?