document.write( "Question 441117: Find all roots of f(x) = x^3-x^2-5x+5 EXACTLY. Sketch a complete graph of f(x) and label all roots clearly. \n" ); document.write( "
Algebra.Com's Answer #304528 by stanbon(75887)\"\" \"About 
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Find all roots of f(x) = x^3-x^2-5x+5 EXACTLY. Sketch a complete graph of f(x) and label all roots clearly.
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\n" ); document.write( "\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E3-x%5E2-5x%2B5%29\"
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\n" ); document.write( "Since the sum of the coefficients is zero x= 1 is a root.
\n" ); document.write( "Use synthetic division to find the other two:
\n" ); document.write( "1)....1....-1....-5....5
\n" ); document.write( ".......1.....0.....-5...|..0\r
\n" ); document.write( "\n" ); document.write( "Quotient: x^2-5
\n" ); document.write( "Factor x^2-5 = 0
\n" ); document.write( "(x-sqrt(5))(x+sqrt(5)) = 0
\n" ); document.write( "x = sqrt(5) or x = -sqrt(5) or x = 1
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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