document.write( "Question 1028779: Hi Im stuck on this, can someone help me??\r
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document.write( "The polynomial \"x^3 + 2x^2 − 29x + 42\" has -7 as one zero. Find the quadratic factor.
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document.write( " A. x^2 - 5x - 6
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document.write( " B. x^2 + 5x + 6
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document.write( " C. x^2 + 5x - 6
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document.write( " D. x^2 - 5x + 6 \n" );
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Algebra.Com's Answer #643969 by Theo(13342)![]() ![]() 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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation is x^3 + 2x^2 - 29x + 42\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equation has -7 as one zero.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "use synthetic division to find the remaining equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "with synthetic division, you are dividing -7 into (1 + 2 - 29 + 42)\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you would also get the same answer using polynomial division.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the following worksheet shows the results of both.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "with synthetic division, you are working with the coefficients and the constants.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "with polynomial division, you are working with the complete terms.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the following references should help you understand how to do the divisions.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "http://www.purplemath.com/modules/synthdiv.htm\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "http://www.purplemath.com/modules/polydiv2.htm\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |