document.write( "Question 125808This question is from textbook Introductory Algebra
\n" ); document.write( ": If anyone could help me with this problem, it would be greatly appreciated. The problem reads: 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 coefficient is -4. Find the polynomial. \n" ); document.write( "
Algebra.Com's Answer #92190 by stanbon(75887)\"\" \"About 
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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 coefficient is -4. Find the polynomial.
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\n" ); document.write( "Let the coefficients be a,b,c,d.
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\n" ); document.write( "EQUATIONS:
\n" ); document.write( "a + b + c + d = -4
\n" ); document.write( "a - b + 0 + 0 = 3
\n" ); document.write( "3a+ 0 - c + 0 = 9
\n" ); document.write( "a + 0 + 0 - e =-2
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\n" ); document.write( "Solved using TI Matrix function:
\n" ); document.write( "a = 1
\n" ); document.write( "b = -2
\n" ); document.write( "c = -6
\n" ); document.write( "d = 3
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\n" ); document.write( "polynomial
\n" ); document.write( "x^3-2x^2-6x+3
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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