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Write the polynomial in standard form and identify the zeros of the function and the x-intercepts of its graph.


1)f(x)=(x-3i)(x+3i)

Verified Answer :

\(f(x)=(x-3i)(x+3i) \\f(x)=x^2-(3i)^2 \\f(x)=x^2-9i^2 \\f(x)=x^2-9(-1) \\f(x)=x^2+9\)

x-intercepts of its graph

\(f(x)=0 \\(x-3i)(x+3i)=0 \\x-3i=0 \Rightarrow x=3i \\x+3i=0 \Rightarrow x=-3i\)

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