document.write( "Question 55834This question is from textbook
\n" ); document.write( ": FIND A POLYNOMIAL WITH LEADING COEFFICIENT 1 AND DEGREE 3 THAT HAS ROOTS -1, 1,3 AS ROOTS \n" ); document.write( "
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\n" ); document.write( "FIND A POLYNOMIAL WITH LEADING COEFFICIENT 1 AND DEGREE 3 THAT HAS ROOTS -1, 1,3 AS ROOTS:
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\n" ); document.write( "The 3 factors: (x+1)(x-1)(x-3)
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\n" ); document.write( "the first two are the difference of squares: (x-1)(x+1) = (x^2 - 1)
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\n" ); document.write( "FOIL: (x^2 - 1)(x - 3) = x^3 - 3x^2 - 1x + 3
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