document.write( "Question 976976: Hey ! I need help solving this.\r
\n" ); document.write( "\n" ); document.write( "f(x) = x^4 − x^3 − 20x^2 \r
\n" ); document.write( "\n" ); document.write( "What are all the zeros of the function and determine the multiplicity of each zero and the number of turning points of the graph of the function. \r
\n" ); document.write( "\n" ); document.write( "Thank you!
\n" ); document.write( "

Algebra.Com's Answer #598467 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
f(x) = x^4 − x^3 − 20x^2
\n" ); document.write( "What are all the zeros of the function and determine the multiplicity of each zero and the number of turning points of the graph of the function.
\n" ); document.write( "***
\n" ); document.write( "f(x) = x^4 − x^3 − 20x^2
\n" ); document.write( "f(x) = x^2(x^2 − x − 20)
\n" ); document.write( "x^2(x^2 − x − 20)=0
\n" ); document.write( "x^2(x-5)(x+4)=0
\n" ); document.write( "zeros are: 0, -4, 5
\n" ); document.write( "multiplicity=1 for all zeros
\n" ); document.write( "number of turning points=3
\n" ); document.write( "see graph below:\r
\n" ); document.write( "\n" ); document.write( "\"+graph%28+300%2C+300%2C+-8%2C+8%2C+-150%2C30%2C+%28x%5E4-x%5E3-20x%5E2%29+%29+\"
\n" ); document.write( "
\n" ); document.write( "
\n" );