document.write( "Question 1045163: How do I solve this word problem?
\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 #660571 by MathTherapy(10552) $\"\"$ $\"About$

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How do I solve this word problem?
\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.
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 You only need ONE (1) variable. Don't confuse yourself with too many unnecessary variables.
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document.write( "Let the coefficient on  be a
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document.write( "Then the coefficient on  = a - 3
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document.write( "The coefficient on x is: 3(a - 3)
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document.write( "The constant is: a + 2
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document.write( "This gives us: 
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document.write( "Since all coefficients sum to  - 4, we get: a + (a - 3) + 3(a - 3) + (a + 2) = - 4
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document.write( "a + a - 3 + 3a - 9 + a + 2 = - 4
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document.write( "6a - 10 = - 4
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document.write( "6a = 6
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document.write( "a = 1
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document.write( "Therefore,  becomes:  ----- Substituting 1 for a
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document.write( "The polynomial is: 
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document.write( "It is that simple...nothing COMPLEX! \n" );
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