document.write( "Question 211171: Ok so we've got to write a polynomial function.\r
\n" ); document.write( "\n" ); document.write( "r1=4, r2=5, and r3=6\r
\n" ); document.write( "\n" ); document.write( "(x-4)(x-5)(x-6)=0
\n" ); document.write( "(x^2)-5x-4x+20=0
\n" ); document.write( "((x^2)-9x+20)(x-6)\r
\n" ); document.write( "\n" ); document.write( "I'm stuck here. I hope it all makes sense.
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Algebra.Com's Answer #159530 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
You're off to a great start. I'll start where you left off.\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2-9x%2B20%29%28x-6%29=0\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-6%29%28x%5E2-9x%2B20%29=0\" Rearrange the terms.\r
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\n" ); document.write( "\n" ); document.write( "\"x%28x%5E2-9x%2B20%29-6%28x%5E2-9x%2B20%29=0\" Expand. Note: \"%28A%2BB%29%28C%2BD%2BE%29=A%28C%2BD%2BE%29%2BB%28C%2BD%2BE%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%28x%5E2%29-x%289x%29%2Bx%2820%29-6%28x%5E2%29-6%28-9x%29-6%2820%29=0\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E3-9x%5E2%2B20x-6x%5E2%2B54x-120=0\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E3-15x%5E2%2B74x-120=0\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So \"%28x%5E2-9x%2B20%29%28x-6%29=x%5E3-15x%5E2%2B74x-120\"\r
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\n" ); document.write( "\n" ); document.write( "This means that the polynomial with the roots \"r%5B1%5D=4\", \"r%5B2%5D=5\", and \"r%5B3%5D=6\" is \"y=x%5E3-15x%5E2%2B74x-120\"
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