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)![]() ![]() ![]() You can put this solution on YOUR website! 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( "-------------------- \n" ); document.write( "Let the coefficients be a,b,c,d. \n" ); document.write( "--------------------- \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 \n" ); document.write( "--------------------- \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 \n" ); document.write( "--------------------- \n" ); document.write( "polynomial \n" ); document.write( "x^3-2x^2-6x+3 \n" ); document.write( "================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |