Question 125808
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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Let the coefficients be a,b,c,d.
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EQUATIONS:
a + b + c + d = -4
a - b + 0 + 0 = 3
3a+ 0 - c + 0 = 9
a + 0 + 0 - e =-2
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Solved using TI Matrix function:
a = 1
b = -2 
c = -6
d = 3
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polynomial
x^3-2x^2-6x+3
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Cheers,
Stan H.