document.write( "Question 160914: write as a product of linear factors and list all zeros:
\n" ); document.write( "f(x)= 12^4 + 7x^3 - 22x^2 - 7x +10 \n" ); document.write( "
Algebra.Com's Answer #118592 by stanbon(75887)\"\" \"About 
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write as a product of linear factors and list all zeros:
\n" ); document.write( "f(x)= 12^4 + 7x^3 - 22x^2 - 7x +10
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\n" ); document.write( "Since the coefficients add up to zero, x=1 is a root of f(x)
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\n" ); document.write( "Use synthetic division:
\n" ); document.write( "1)....12....7....-22....-7....10
\n" ); document.write( "........12...19....-3....-10..|..0
\n" ); document.write( "-1).......12....7....-10..|..0
\n" ); document.write( "----------------
\n" ); document.write( "So, you have roots at x= 1 and x=-1
\n" ); document.write( "You are left with a quadratic which you can solve in several ways:
\n" ); document.write( "x = [-7 +- sqrt(49 - 4*12*-10)]/24
\n" ); document.write( "x = [-7 +- sqrt(529)]/24
\n" ); document.write( "x = [-7 +- 23]/24
\n" ); document.write( "z = 16/24 or z = -30/24
\n" ); document.write( "z = 2.3 or z = -5/4
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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