The zero(s) of the function is/are $x=8$ (multiplicity 2), $x=-6$, $x=11$ The horizontal intercept(s) is/are $(8, 0)$, $(-6, 0)$, $(11, 0)$ The vertical intercept is $(0, -8448)$ …
determine the zeros and the vertical intercept of the polynomial function:
$f(x)=2(x-8)^2(x+6)(x-11)$
the zero(s) of the is/are
the horizontal intercept(s) is/are
the vertical intercept is
the degree of the polynomial function is
determine the zeros and the vertical intercept of the polynomial function:
$f(x)=2(x-8)^2(x+6)(x-11)$
the zero(s) of the is/are
the horizontal intercept(s) is/are
the vertical intercept is
the degree of the polynomial function is
Set each factor equal to 0:
$x-8=0 \implies x=8$ (multiplicity 2)
$x+6=0 \implies x=-6$
$x-11=0 \implies x=11$
Horizontal intercepts are the zero pairs $(x,0)$:
$(8,0), (-6,0), (11,0)$
Set $x=0$ and solve for $f(0)$:
$$
\begin{align*}
f(0)&=2(0-8)^2(0+6)(0-11)\\
&=2(64)(6)(-11)\\
&=2\times64\times(-66)\\
&=128\times(-66)\\
&=-8448
\end{align*}
$$
Sum exponents of factors: $2+1+1=4$
The zero(s) of the function is/are $x=8$ (multiplicity 2), $x=-6$, $x=11$
The horizontal intercept(s) is/are $(8, 0)$, $(-6, 0)$, $(11, 0)$
The vertical intercept is $(0, -8448)$
The degree of the polynomial function is $4$
Set each factor equal to 0:
$x-8=0 \implies x=8$ (multiplicity 2)
$x+6=0 \implies x=-6$
$x-11=0 \implies x=11$
Horizontal intercepts are the zero pairs $(x,0)$:
$(8,0), (-6,0), (11,0)$
Set $x=0$ and solve for $f(0)$:
$$
\begin{align*}
f(0)&=2(0-8)^2(0+6)(0-11)\\
&=2(64)(6)(-11)\\
&=2\times64\times(-66)\\
&=128\times(-66)\\
&=-8448
\end{align*}
$$
Sum exponents of factors: $2+1+1=4$
The zero(s) of the function is/are $x=8$ (multiplicity 2), $x=-6$, $x=11$
The horizontal intercept(s) is/are $(8, 0)$, $(-6, 0)$, $(11, 0)$
The vertical intercept is $(0, -8448)$
The degree of the polynomial function is $4$
determine the zeros and the vertical intercept of the polynomial function: $f(x)=2(x-8)^2(x+6)(x-11)$ the zero(s) of the is/are the horizontal intercept(s) is/are the vertical intercept is the degree of the polynomial function is
Top-left cell: 180 Top-right cell: 6 Bottom-left cell: 600 Bottom-right cell: 20 Final product: 806
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