document.write( "Question 392537: Factor the following and list all zeros (roots):\r
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Algebra.Com's Answer #278596 by richard1234(7193) $\"\"$ $\"About$

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Using the rational root test, x=1 and x=2 are zeros of the polynomial, so (x-1)(x-2) or $\"x%5E2+-+3x+%2B+2\"$ divides the polynomial. Dividing $\"%28x%5E4+%2B+7x%5E3+-+4x%5E2+-+52x+%2B+48%29%2F%28x%5E2+-+3x+%2B+2%29\"$ using long division or synthetic division twice, we get $\"x%5E2+%2B+10x+%2B+24\"$ , so the polynomial is equal to $\"%28x%5E2+-+3x+%2B+2%29%28x%5E2+%2B+10x+%2B+24%29\"$ . The first expression has roots at 1 and 2 (we've already figured this), and the other expression factors to (x+6)(x+4) so it has roots at -6 and -4. Therefore the four roots are 1,2, -4, -6 and the factorization is\r
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\n" ); document.write( "\n" ); document.write( " $\"%28x-1%29%28x-2%29%28x%2B4%29%28x%2B6%29\"$ \r
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