SOLUTION: The problem is a polynominal 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 rem

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The problem is a polynominal 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 rem      Log On


   

Question 166437This question is from textbook Introductory Algebra
: The problem is a polynominal 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 polynominal.
I am totally lost and don't know where to start or what to do.
Steph This question is from textbook Introductory Algebra

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
Ax%5E3-Bx%5E2-Cx-D=0
so B=A-3
C=3B--->3(A-3) or 3A-9
D=A+2
A+B+C+D=-4
so substituting into the last equation+A%2B%28A-3%29%2B%283A-9%29%2B%28A%2B2%29=-4
simplify6A-10=-4---->6A=6 A=1
A=1
B=1-3=-2
C=3%28-2%29=-6
D=1%2B2=3