document.write( "Question 465261: use the cubic function f(x)=x^3+x^2-3x+1 to complete the remaining problems 1) what are the possible roots of this function 2)test your possibilities synthetically to determine which one(s) is(are) valid \n" ); document.write( "
Algebra.Com's Answer #318812 by stanbon(75887)\"\" \"About 
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use the cubic function f(x)=x^3+x^2-3x+1 to complete the remaining problems
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\n" ); document.write( "1) what are the possible roots of this function
\n" ); document.write( "Possible roots: +1 and -1
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\n" ); document.write( "2)test your possibilities synthetically to determine which one(s) is(are) valid
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\n" ); document.write( "1)....1....1....-3....1
\n" ); document.write( ".......1....2....-1...|..0\r
\n" ); document.write( "\n" ); document.write( "Quotient: x^2+2x-1
\n" ); document.write( "Remainder: 0
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\n" ); document.write( "The root is x = 1.
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\n" ); document.write( "Note: Notice that the coefficients of the cubic add
\n" ); document.write( "up to zero. That tells you x = 1 is a root.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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