document.write( "Question 443767: Find all real zeros of the polynomial function. Determine the multiplicity of each zero.
\n" ); document.write( "f(x)=x^3(x-3)^3 \n" ); document.write( "

Algebra.Com's Answer #306018 by htmentor(1343) $\"\"$ $\"About$

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f(x) = x^3(x-3)^3
\n" ); document.write( "The zeros of the function are the values of x which make f(x) = 0:
\n" ); document.write( "x^3(x-3)^3 = 0
\n" ); document.write( "The LHS will be equal to 0 if x = 0, or x = 3. The latter has a multipicity of 3.
\n" ); document.write( "So the zeros are: 0, 3 (multiplicity 3)
\n" ); document.write( "The graph is shown below:
\n" ); document.write( " $\"graph%28400%2C400%2C-6%2C6%2C-20%2C20%2Cx%5E3%2A%28x-3%29%5E3%29\"$ \n" ); document.write( "

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