document.write( "Question 199132: Express the function f(x)=-2x^3+6x^2-9/2x in factored form and show all work done in order to optain the factored form of the function, also find all zeros of f(x) and state its multiplicity. \n" ); document.write( "

Algebra.Com's Answer #149617 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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f(x)=-2x^3+6x^2-9/2x in factored form
\n" ); document.write( "write it:
\n" ); document.write( "-2x^3 + 6x^2 - 4.5x = 0
\n" ); document.write( "Factor out -1, changes the signs, makes it easier to factor
\n" ); document.write( "-x(2x^2 - 6x + 4.5) = 0
\n" ); document.write( "Factor the quadratic
\n" ); document.write( "-x(2x - 3)(x - 1.5) = 0
\n" ); document.write( "The zeros
\n" ); document.write( "x = 0
\n" ); document.write( "and
\n" ); document.write( "2x = 3
\n" ); document.write( "x = +1.5
\n" ); document.write( "and
\n" ); document.write( "x = +1.5 \n" ); document.write( "

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