SOLUTION: (a) What must be the two relationships beween a and b if x(x+a)(x+b)=x^3-4x^2-12x? (b) Use your answer to part (a) to calculate the values of a and b.

Question 180840: (a) What must be the two relationships beween a and b if x(x+a)(x+b)=x^3-4x^2-12x?
(b) Use your answer to part (a) to calculate the values of a and b.
Answer by radhika.anumanchi(1) (Show Source): You can put this solution on YOUR website!
x(x+a)x+b) = x^3 - 4x^2 - 12x
x^3 + x^2 (a+b) + abx = x^3 - 4x^2 - 12x
Compare each term on both LHS & RHS
(a+b) = -4 & ab = -12
substitute a= 2, b= -6; which satisfy the expression.