Question

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checkpoint: graph polynomial functions
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what are the zeros of the polynomial function $f(x) = 2x(x + 3)(x + 3)$?
$\bigcirc$ $x = 0$ and $x = 3$
$\bigcirc$ $x = 0$ and $x = -3$
$\bigcirc$ $x = -3$ and $x = -3$
$\bigcirc$ $x = 3$ and $x = -3$

Explanation:

Step1: Set function equal to 0

$2x(x+3)(x+3) = 0$

Step2: Solve each factor for x

Set $2x=0$: $x=0$
Set $(x+3)=0$: $x=-3$ (repeated root)

Answer:

$x = 0$ and $x = -3$