document.write( "Question 1164756: Find the polynomial function of least degree with integral coefficients that
\n" ); document.write( "has the given zeros 2,5/3,-5? \n" ); document.write( "
Algebra.Com's Answer #789172 by Edwin McCravy(20065)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Instead of doing your problem for you, I'll do one exactly like it for you\r\n" );
document.write( "to use as a model for doing yours.\r\n" );
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\n" ); document.write( "Find the polynomial function of least degree with integral coefficients that
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document.write( "    x = 3;          x = 7/4;       x = -6\r\n" );
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document.write( "Get 0 on the right of each equation:\r\n" );
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document.write( "x - 3 = 0;    x - 7/4 = 0      x + 6 = 0\r\n" );
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document.write( "Clear the second one of fractions by multiplying it through by 3.\r\n" );
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document.write( "So we have:\r\n" );
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document.write( "x - 3 = 0;     4x - 7 = 0      x + 6 = 0\r\n" );
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document.write( "Multiply the three left sides together:\r\n" );
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document.write( "       (x - 3)(4x - 7)(x + 6) = 0\r\n" );
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document.write( "Multiply the first two together by FOIL:\r\n" );
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document.write( " (4x² - 7x - 12x + 21)(x + 6) = 0\r\n" );
document.write( "      (4x² - 19x + 21)(x + 6) = 0\r\n" );
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document.write( "Multiply every term in the first parentheses by every term in the secon4\r\n" );
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document.write( "  4x³ + 24x² - 19x² - 114x + 21x + 126 = 0\r\n" );
document.write( "                  4x³ + 5x² - 93x + 50 = 0\r\n" );
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document.write( "We want the polynomial that when set = 0, has those three solutions.  So\r\n" );
document.write( "that polynomial is the left side:\r\n" );
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document.write( "          f(x) =  4x³ + 5x² - 93x + 50\r\n" );
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document.write( "Now go do yours the exact same way.\r\n" );
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document.write( "Edwin
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