document.write( "Question 821628: For the polynomial below, 3 is a zero. H(x)=x^3-7x^2 +11x+3\r
\n" ); document.write( "\n" ); document.write( "Express h(x) as a product of linear factors.
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Algebra.Com's Answer #494336 by josgarithmetic(39617) $\"\"$ $\"About$

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Case level is important. Use either H or h, because each may name different functions. H is not taken as equal to h.\r
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\n" ); document.write( "\n" ); document.write( "Synthetic division of H(x) using the zero of 3 (not shown here), gives $\"x%5E2-4x-1\"$ , which has the zeros, $\"2%2Bsqrt%285%29\"$ and $\"2-sqrt%285%29\"$ . In factored form, $\"H%28x%29=%28x-3%29%28x-%282%2Bsqrt%285%29%29%29%28x-%282-sqrt%285%29%29%29\"$
\n" ); document.write( "which you could simplify, carrying out the multiplications and groupings, to
\n" ); document.write( " $\"H%28x%29=%28x-3%29%28%28x-2%29%5E2-5%29\"$ , but this is not linear factors. The best form of the answer is then $\"highlight%28H%28x%29=%28x-3%29%28x-%282%2Bsqrt%285%29%29%29%28x-%282-sqrt%285%29%29%29%29\"$ \n" ); document.write( "

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