document.write( "Question 1043703: The polynomial f(x) has degree 3. If f(-1) = 15, f(0)= 0, f(1) = -5, and f(2) = 12, then what are the x-intercepts of the graph of f? \n" ); document.write( "
Algebra.Com's Answer #658865 by Fombitz(32388)\"\" \"About 
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Use the general equation,
\n" ); document.write( "\"y=ax%5E3%2Bbx%5E2%2Bcx%2Bd\"
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\n" ); document.write( "\"15=a%28-1%29%5E3%2Bb%28-1%29%5E2%2Bc%28-1%29%2Bd\"
\n" ); document.write( "1.\"-a%2Bb-c%2Bd=15\"
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\n" ); document.write( "\"0=a%280%29%5E3%2Bb%280%29%5E2%2Bc%280%29%2Bd\"
\n" ); document.write( "2.\"d=0\"
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\n" ); document.write( "\"-5=a%281%29%5E3%2Bb%281%29%5E2%2Bc%281%29\"
\n" ); document.write( "3.\"a%2Bb%2Bc=-5\"
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\n" ); document.write( "\"12=a%282%29%5E3%2Bb%282%29%5E2%2Bc%282%29\"
\n" ); document.write( "\"8a%2B4b%2B2c=12\"
\n" ); document.write( "4.\"4a%2B2b%2Bc=6\"
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\n" ); document.write( "Updating eq. 1,
\n" ); document.write( "1.\"-a%2Bb-c=15\"
\n" ); document.write( "Adding eq. 1 to eq. 3,
\n" ); document.write( "\"a%2Bb%2Bc-a%2Bb-c=-5%2B15\"
\n" ); document.write( "\"2b=10\"
\n" ); document.write( "\"b=5\"
\n" ); document.write( "Adding eq. 1 to eq. 4,
\n" ); document.write( "\"4a%2B2%285%29%2Bc-a%2B5-c=15%2B6\"
\n" ); document.write( "\"3a%2B15=21\"
\n" ); document.write( "\"3a=6\"
\n" ); document.write( "\"a=2\"
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\n" ); document.write( "So then using eq. 3,
\n" ); document.write( "\"2%2B5%2Bc=-5\"
\n" ); document.write( "\"c=-12\"
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\n" ); document.write( "\"y=2x%5E3%2B5x%5E2-12x\"
\n" ); document.write( "Now solve for
\n" ); document.write( "\"2x%5E3%2B5x%5E2-12x=0\"
\n" ); document.write( "\"%282x%5E2%2B5x-12%29x=0\"
\n" ); document.write( "\"%282x-3%29%28x%2B4%29x=0\"
\n" ); document.write( "Solve for the three zeros or look at the graph where the func tion crosses the x-axis.
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