document.write( "Question 177796: 14. find all the real and imaginary zeros of f(x)=x cubed+xsquared+13x-15; given that 1 is a zero of the function \n" ); document.write( "
Algebra.Com's Answer #132792 by stanbon(75887)\"\" \"About 
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find all the real and imaginary zeros of f(x)=x cubed+xsquared+13x-15; given that 1 is a zero of the function
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\n" ); document.write( "f(x) = x^3 +x^2 + 13x - 15
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\n" ); document.write( "Find the quotient when dividing f(x) by x-1:
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\n" ); document.write( "\n" ); document.write( "1)....1....1....13....-15
\n" ); document.write( ".......1....2....15...|..0\r
\n" ); document.write( "\n" ); document.write( "Quotient: x^2 + 2x + 15
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\n" ); document.write( "Find the zeroes of x^2 + 2x + 15\r
\n" ); document.write( "\n" ); document.write( "x = [-2 +- sqrt(4 - 4*1*15)]/2\r
\n" ); document.write( "\n" ); document.write( "x = [-2 +- sqrt(-56)]/2\r
\n" ); document.write( "\n" ); document.write( "x = [-2 +- 2sqrt(13)i]/2\r
\n" ); document.write( "\n" ); document.write( "x = -1 +- sqrt(13)i
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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