document.write( "Question 86714: I am having trouble with this homeowrk question which is due tomorrow: find all the zeros of the function
\n" ); document.write( "a)x^3_2x^2-2x-3
\n" ); document.write( "b)f(x)=6x^4-13x^3+13x-6
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Algebra.Com's Answer #62726 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
find all the zeros of the function
\n" ); document.write( "a)x^3-2x^2-2x-3
\n" ); document.write( "I graphed it to find x=3 is a zero
\n" ); document.write( "Using synthetic divsion:
\n" ); document.write( "3)....1....-2....-2....-3
\n" ); document.write( "........1....1.....1..|..0
\n" ); document.write( "The quotient is x^2+x+1
\n" ); document.write( "Use the quadratic formula to find two complex zeroes:
\n" ); document.write( "x=[-1+-sqrt(1-4*!*!)]/2
\n" ); document.write( "x=[-1+-sqrt(-3)]/2
\n" ); document.write( "x=(-1+isqrt3)/2 or x=(-1-isqrt3)/2
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\n" ); document.write( "\n" ); document.write( "b)f(x)=6x^4-13x^3+13x-6
\n" ); document.write( "The coefficients add to zero so x=1 is a zero
\n" ); document.write( "1)....6....-13....0....13....-6
\n" ); document.write( "........6.....-7....-7....6..|..0
\n" ); document.write( "-1).......6,,,,,-13....6....|..0
\n" ); document.write( "Use the quadratic formula to find the zeroes
\n" ); document.write( "of 6x^2-13x+6
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\n" ); document.write( "Cheers,
\n" ); document.write( "stan H.\r
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