document.write( "Question 1036832: A cubic polynomial function f(x) has leading coefficient -2 and intercepts the y - axis at 2. If f(1) = 1, and f(-2)= -2, find f(-1) and write the complete function. \n" ); document.write( "
Algebra.Com's Answer #651688 by Fombitz(32388)\"\" \"About 
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\"f%28x%29=-2x%5E3%2Bax%5E2%2Bbx%2Bc\"
\n" ); document.write( "So,
\n" ); document.write( "\"f%282%29=0\"
\n" ); document.write( "\"-2%282%29%5E3%2Ba%282%29%5E2%2B2b%2Bc=0\"
\n" ); document.write( "\"-16%2B4a%2B2b%2Bc=0\"
\n" ); document.write( "1.\"4a%2B2b%2Bc=16\"
\n" ); document.write( "Similarly,
\n" ); document.write( "\"f%281%29=1\"
\n" ); document.write( "\"-2%281%29%5E3%2Ba%281%29%5E2%2Bb%2Bc=1\"
\n" ); document.write( "\"-2%2Ba%2Bb%2Bc=1\"
\n" ); document.write( "2.\"a%2Bb%2Bc=3\"
\n" ); document.write( "and
\n" ); document.write( "\"f%28-2%29=-2\"
\n" ); document.write( "\"-2%28-2%29%5E3%2Ba%28-2%29%5E2-2b%2Bc=-2\"
\n" ); document.write( "\"16%2B4a-2b%2Bc=-2\"
\n" ); document.write( "3.\"4a-2b%2Bc=-18\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Subtract 2 from 1,
\n" ); document.write( "\"4a%2B2b%2Bc-a-b-c=16-3\"
\n" ); document.write( "4.\"3a%2Bb=13\"
\n" ); document.write( "Subtracting 2 from 3,
\n" ); document.write( "\"4a-2b%2Bc-a-b-c=-18-2\"
\n" ); document.write( "\"3a-3b=-21\"
\n" ); document.write( "5.\"a-b=-7\"
\n" ); document.write( "Adding 4 and 5,
\n" ); document.write( "\"3a%2Bb%2Ba-b=13-7\"
\n" ); document.write( "\"4a=6\"
\n" ); document.write( "\"a=3%2F2\"
\n" ); document.write( "Then,
\n" ); document.write( "\"3%283%2F2%29%2Bb=13\"
\n" ); document.write( "\"9%2F2%2Bb=26%2F2\"
\n" ); document.write( "\"b=17%2F2\"
\n" ); document.write( "And,
\n" ); document.write( "\"3%2F2%2B17%2F2%2Bc=3\"
\n" ); document.write( "\"10%2Bc=3\"
\n" ); document.write( "\"c=3-10\"
\n" ); document.write( "\"c=-7\"
\n" ); document.write( "So,
\n" ); document.write( "\"f%28x%29=-2x%5E3%2B%283%2F2%29x%5E2%2B%2817%2F2%29x-7\"
\n" ); document.write( "and
\n" ); document.write( "\"f%28-1%29=-2%28-1%29%5E3%2B%283%2F2%29-%2817%2F2%29-7\"
\n" ); document.write( "\"f%28-1%29=-12\"\r
\n" ); document.write( "\n" ); document.write( "
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