Colecting Like Terms A polynomial in x has degree 3. The coefficient of x^2 is 3

Question

Colecting Like Terms A polynomial in x has degree 3. The coefficient of x^2 is 3less than the coefficient of x^3. The coefficient of x is threetimes the coefficent of x^2. the Remaining coefficient is 2 morethan the coefficient of x^3. The sum of the coefficients is -4.Find the polynomial. Colecting Like Terms A polynomial in x has degree 3. The coefficient of x^2 is 3less than the coefficient of x^3. The coefficient of x is threetimes the coefficent of x^2. the Remaining coefficient is 2 morethan the coefficient of x^3. The sum of the coefficients is -4.Find the polynomial.

Explanation / Answer

y*x^3+(y-3)*x^2+(3(y-3))*x+(y+2) then you remove the x's and get y+y-3+3y-9+y+2=-4 add numbers that don't have y (combine like terms) -3 + -3*3 + 2 = -10 add ten to other side to get y+y+3y+y=6 combine once more 6y=6 y=1
y*x^3+(y-3)*x^2+(3(y-3))*x+(y+2) y is 1 so x^3-2x^2-6x+3 and to check 1-2-6+3=-4
good luck.

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