document.write( "Question 156079This question is from textbook Prentice Hall Algebra 1
\n" ); document.write( ": The polynomial in x has degree 3. The coefficient of x^2 is 3 less than the coefficient of x^3. The coefficient of x is 3 times the coefficient of x^2. The remaining coefficient is 2 more than the coefficient of x^3. The sum of the coefficients is -4. Find the polynomial. \n" ); document.write( "
Algebra.Com's Answer #114946 by oscargut(2103)\"\" \"About 
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let \"P%28x%29=ax%5E3%2Bbx%5E2%2Bcx%2Bd\"
\n" ); document.write( "The coefficient of x^2 is 3 less than the coefficient of x^3.
\n" ); document.write( "then \"b=a-3\"
\n" ); document.write( "The coefficient of x is 3 times the coefficient of x^2.
\n" ); document.write( "then \"c=3b\"
\n" ); document.write( "The remaining coefficient is 2 more than the coefficient of x^3.
\n" ); document.write( "\"d=a%2B2\"
\n" ); document.write( "The sum of the coefficients is -4.
\n" ); document.write( "then
\n" ); document.write( "\"a%2Bb%2Bc%2Bd=-4\"
\n" ); document.write( "using
\n" ); document.write( "\"b=a-3\"
\n" ); document.write( "\"c=3b=3%28a-3%29=3a-9\"
\n" ); document.write( "\"d=a%2B2\"\r
\n" ); document.write( "\n" ); document.write( "sum is:\r
\n" ); document.write( "\n" ); document.write( "\"a%2B%28a-3%29%2B%283a-9%29%2Ba%2B2=-4\"
\n" ); document.write( "\"6a-10=-4\"
\n" ); document.write( "\"6a=6\"
\n" ); document.write( "\"a=1\"
\n" ); document.write( "then
\n" ); document.write( "\"b=a-3=1-3=-2\"
\n" ); document.write( "\"c=3a-9=3-9=-6\"
\n" ); document.write( "\"d=a%2B2=1%2B2=3\"\r
\n" ); document.write( "\n" ); document.write( "Answer:\"P%28x%29=x%5E3-2x%5E2-6x%2B3\"
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