document.write( "Question 225730: Use the Rational Zeros Theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers.\r
\n" ); document.write( "\n" ); document.write( "f(x) = x3 + 2x2 - 5x - 6 \n" ); document.write( "
Algebra.Com's Answer #168334 by nerdybill(7384)\"\" \"About 
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Use the Rational Zeros Theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers.\r
\n" ); document.write( "\n" ); document.write( "f(x) = x3 + 2x2 - 5x - 6\r
\n" ); document.write( "\n" ); document.write( "\"Rational zeros theorem\" gives us possible guesses as to where roots are.
\n" ); document.write( "\"factors of constant term\"/\"constants of coefficient of highest power\"
\n" ); document.write( "+- 1,2,3,5,6/1 = +- 1, 2, 3, 5, 6\r
\n" ); document.write( "\n" ); document.write( "Ref:
\n" ); document.write( "http://www.purplemath.com/modules/\r
\n" ); document.write( "\n" ); document.write( "Applying \"synthetic division\" we quickly see that:
\n" ); document.write( "2 is a root
\n" ); document.write( "therefore, we get
\n" ); document.write( "(x-2)(x^2+4x+3)
\n" ); document.write( "Now, we can apply normal factoring techniques to the right expression giving us:
\n" ); document.write( "(x-2)(x+3)(x+1)
\n" ); document.write( "Our roots are:
\n" ); document.write( "x = {-3,-1,2} \n" ); document.write( "
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