document.write( "Question 854420: If I have the equation f(x)=3x^3-43x^2+161x-49 are the real zeros 7 and 1/3. If so how do you use the real zeros to factor the equation?\r
\n" ); document.write( "\n" ); document.write( "And if I have the equation f(x)=2x^3-4x^2-34x+68 are the real zeros positive and negative sqrt(17) and 2? And how do you use the real zeros to factor f?
\n" ); document.write( " HELP!!!!!
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Algebra.Com's Answer #514668 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "f(x)=3x^3-43x^2+161x-49 |Yes x = 7 is a root
\n" ); document.write( "Using synthetic Division to find the other two
\n" ); document.write( "7 3 -43 161 -49
\n" ); document.write( " 21 -154 49
\n" ); document.write( " 3 -22 7 0
\n" ); document.write( " 3x^2 - 22 + 7
\n" ); document.write( " ( 3x - 1)(x - 7) = 0 , x = 7 , x = 1/3
\n" ); document.write( "f(x)=3x^3-43x^2+161x-49 = (x-7)(x-7)(x - 1/3)\r
\n" ); document.write( "\n" ); document.write( "f(x)=2x^3-4x^2-34x+68 x = 2 is a root
\n" ); document.write( "Using synthetic Division to find the other two
\n" ); document.write( "2 2 -4 -34 68
\n" ); document.write( " 4 0 -68
\n" ); document.write( " 2 0 -34 0
\n" ); document.write( " 2x^2 = 34 = 0
\n" ); document.write( " x = ± √17
\n" ); document.write( "f(x)=2x^3-4x^2-34x+68 = (x-2)(x + √17)( x -√17) \n" ); document.write( "
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