document.write( "Question 846329: how to factor x^2 - x - 10 ? \n" ); document.write( "

Algebra.Com's Answer #509708 by josgarithmetic(39630) $\"\"$ $\"About$

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This is not a square trinomial: $\"highlight_green%28x%5E2+-+x+-+10%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "It also appears to not be factorable.
\n" ); document.write( "The usual choices for checking integers would be 1 and 10; or 2 and 5. Any of those pair, regardless of sign choice, will NOT give the -1 and the -10 required.\r
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\n" ); document.write( "\n" ); document.write( "Discriminant: $\"%28-1%29%5E2-4%28-10%29=1%2B40=highlight_green%2841%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Zeros at $\"x=%281-sqrt%2841%29%29%2F2\"$ and $\"x=%281%2Bsqrt%2841%29%29%2F2\"$ .\r
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\n" ); document.write( "\n" ); document.write( "The given quadratic trinomial is not factorable into two linear binomials; but if you really want, you can factor into binomials having the shown irrational constant terms. If you were looking for something simpler, then any simpler factorization is not possible.\r
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\n" ); document.write( "\n" ); document.write( "This is the factorization:
\n" ); document.write( " $\"%28x-%281-sqrt%2841%29%29%2F2%29%28x-%281%2Bsqrt%2841%29%29%2F2%29\"$ \n" ); document.write( "

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