document.write( "Question 181077This question is from textbook
\n" ); document.write( ": A 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 three 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 #135730 by eperette(173)\"\" \"About 
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polynomial in x of degree three would look something like this:
\n" ); document.write( "ax^3 + bx^2 + cx + d
\n" ); document.write( "where a,b,c, and d are real numbers (coefficients)\r
\n" ); document.write( "\n" ); document.write( "given:
\n" ); document.write( "b= a-3
\n" ); document.write( "c= 3b = 3(a-3)
\n" ); document.write( "d= a+2
\n" ); document.write( "a+b+c+d= -4\r
\n" ); document.write( "\n" ); document.write( "solution:
\n" ); document.write( "a+(a-3)+3(a-3)+(a+2) = -4
\n" ); document.write( "a + a -3 +3a -9 + a + 2 = -4
\n" ); document.write( "6a -10 = -4
\n" ); document.write( "6a = 6
\n" ); document.write( "a =1\r
\n" ); document.write( "\n" ); document.write( "then
\n" ); document.write( "b= 1-3 = -2
\n" ); document.write( "c= 3b = 3(-2) = -6
\n" ); document.write( "d= a+2 = 1+2=3\r
\n" ); document.write( "\n" ); document.write( "so polynomial is:
\n" ); document.write( "1x^3 -2x^2 -6x +3 or x^3-2x^2-6x+3
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