document.write( "Question 527608: Math 150 Find all of the real zeros and write the polynomial as a product of linear factors. Show all work.
\n" ); document.write( "x,cubed - 11x,squared - 15x + 325
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Algebra.Com's Answer #348961 by stanbon(75887)\"\" \"About 
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Math 150 Find all of the real zeros and write the polynomial as a product of linear factors. Show all work.
\n" ); document.write( "x,cubed - 11x,squared - 15x + 325\r
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\n" ); document.write( "x^3 - 11x^2 - 15x + 325
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\n" ); document.write( "I graphed and found a zero at x = -5
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\n" ); document.write( "Use synthetic division to find the other zeros:
\n" ); document.write( "-5)....1....-11....-15...325
\n" ); document.write( "........1.....-16....65..|..0
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\n" ); document.write( "Quotient: x^2-16x+65
\n" ); document.write( "x = [16 +- sqrt(16^2-4*65)]/2
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\n" ); document.write( "x = [16 +- sqrt(-4)]/2
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\n" ); document.write( "x = 8+(1/2)2i or x = 8-(1/2)2i
\n" ); document.write( "Note: These are not Real Number zeroes
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\n" ); document.write( "f(x) = (x+5)(x^2-16x+65)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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