document.write( "Question 1028779: Hi Im stuck on this, can someone help me??\r
\n" ); document.write( "\n" ); document.write( "The polynomial \"x^3 + 2x^2 − 29x + 42\" has -7 as one zero. Find the quadratic factor.
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\n" ); document.write( " A. x^2 - 5x - 6
\n" ); document.write( " B. x^2 + 5x + 6
\n" ); document.write( " C. x^2 + 5x - 6
\n" ); document.write( " D. x^2 - 5x + 6
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Algebra.Com's Answer #643969 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
looks like a problem in synthetic division, or polynomial division, if you're not familiar with synthetic division.\r
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\n" ); document.write( "\n" ); document.write( "your equation is x^3 + 2x^2 - 29x + 42\r
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\n" ); document.write( "\n" ); document.write( "the equation has -7 as one zero.\r
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\n" ); document.write( "\n" ); document.write( "use synthetic division to find the remaining equation.\r
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\n" ); document.write( "\n" ); document.write( "with synthetic division, you are dividing -7 into (1 + 2 - 29 + 42)\r
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\n" ); document.write( "\n" ); document.write( "you bring down the 1.
\n" ); document.write( "you then multiply that 1 by -7 to get -7
\n" ); document.write( "you add -7 to 2 and you get -5
\n" ); document.write( "you multiply -5 by -7 to get 35
\n" ); document.write( "you add 35 to -29 to get 6
\n" ); document.write( "you multiply 6 by -7 to get -42
\n" ); document.write( "you add -42 to 42 to get 0.
\n" ); document.write( "that means that -7 is a root of the equation because the remainder is 0.
\n" ); document.write( "you are left with:
\n" ); document.write( "1 -5 + 6 + 0
\n" ); document.write( "that equates to x^2 - 5x + 6
\n" ); document.write( "that's selection D.\r
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\n" ); document.write( "\n" ); document.write( "you would also get the same answer using polynomial division.\r
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\n" ); document.write( "\n" ); document.write( "the following worksheet shows the results of both.\r
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\n" ); document.write( "\n" ); document.write( "with synthetic division, you are working with the coefficients and the constants.\r
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\n" ); document.write( "\n" ); document.write( "with polynomial division, you are working with the complete terms.\r
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\n" ); document.write( "\n" ); document.write( "the following references should help you understand how to do the divisions.\r
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\n" ); document.write( "\n" ); document.write( "http://www.purplemath.com/modules/synthdiv.htm\r
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\n" ); document.write( "\n" ); document.write( "http://www.purplemath.com/modules/polydiv2.htm\r
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