document.write( "Question 626379: Find all the zeros of the polynomial function and write the polynomial as a product of its leading coefficient and its linear factors. (Hint: First determine the rational zeros.)
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\n" ); document.write( "P(x) = x5 − 9x4 + 34x3 − 58x2 + 45x − 13\r
\n" ); document.write( "\n" ); document.write( "Find the zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
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Algebra.Com's Answer #394135 by lwsshak3(11628)\"\" \"About 
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P(x) = x5 − 9x4 + 34x3 − 58x2 + 45x − 13
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\n" ); document.write( "Use rational roots theorem to solve:\r
\n" ); document.write( "\n" ); document.write( "...0...|....1.......-9........34......-58......45.......-13
\n" ); document.write( "...1...|....1.......-8........26......-32......13.........0 (1 is a zero)
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\n" ); document.write( "...0...|....1.......-8....... 26......-32......13..
\n" ); document.write( "...1...|....1.......-7........19......-13.......0 (1 is a zero again)
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\n" ); document.write( "...0...|....1.......-7........19.......-13...........
\n" ); document.write( "...1...|....1.......-6........13.........0 (1 is a zero a third time)
\n" ); document.write( "P(x)=(x-1)(x-1)(x-1)(x^2-6x+13)
\n" ); document.write( "zeros are: 1,1,1, and 2 non real roots
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