document.write( "Question 423775: 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. f(x)= x^3+ 2x^2 -9x -18. \n" ); document.write( "

Algebra.Com's Answer #295529 by Gogonati(855) $\"\"$ $\"About$

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Solution: -3, -2, 3 are all real zeros for this polynomial,thus we can divide it by (x+3), (x-3)and (x+2)\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E3%2B2x%5E2-9x-18%29%2F%28x%2B3%29=%28x%5E2-x-6%29=%28x%2B2%29%2A%28x-3%29\"$ Finally we have:\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E3%2B2x%5E2-9x-18=%28x%2B2%29%2A%28x%2B3%29%2A%28x-3%29\"$ \n" ); document.write( "

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