Question 409982
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Hi
(x + 1)(x – 2) = 54    
This equation states it is the PRODUCT of (x+1) and (x-2) = 54!
Note: The factor theorem states that a polynomial f(x) has a factor (x &#8722; k)
where k is a 'solution' if and only if f(k) = 0
(x + 1)(x – 2) = 54  |Putting this in the form ax^2 + bx + c = 0 in order to factor
 x^2 -x - 2 = 54
 x^2 -x - 56 = 0     |Yes!
factoring
 (x-8)(x+7)= 0       |NOW! 'Each' of the Products is = 0
  (x-8)= 0   x = 8
  (x+7)= 0   x = -7

CHECKING our Answer(s)***
(x + 1)(x – 2) = 54 
  9*6 = 54
 -6*-9 =54