e. Write $f(x)=-x^{3}+9 x^{2}-20 x$ in factored form.
\[
f(x)=
\]
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f. Determine the function's horizontal intercepts. Enter your answer as a comma-separated list.
\[
x=
\]
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Answer

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Answer

Therefore, the factored form of the function $f(x)=-x^{3}+9 x^{2}-20 x$ is $\boxed{f(x) = x*(x - 5)*(x - 4)}$.

Steps

Step 1 ：First, we find the roots of the function by setting the function equal to zero and solving for x. The roots of the function are the values of x for which f(x) = 0.

Step 2 ：The roots of the function are 0, 4, and 5.

Step 3 ：We can write the function in factored form by setting each factor equal to zero at each root.

Step 4 ：Therefore, the factored form of the function $f(x)=-x^{3}+9 x^{2}-20 x$ is $\boxed{f(x) = x*(x - 5)*(x - 4)}$.

e. Write $f(x)=-x^{3}+9 x^{2}-20 x$ in factored form.\[f(x)=\]Previewf. Determine the function's horizontal intercepts. Enter your answer as a comma-separated list.\[x=\]Preview

Answer

Popular Problems

e. Write $f(x)=-x^{3}+9 x^{2}-20 x$ in factored form.
\[
f(x)=
\]
Preview
f. Determine the function's horizontal intercepts. Enter your answer as a comma-separated list.
\[
x=
\]
Preview