Given that (x + 2)(x2 - 3x + 2) + 2(x + 2)(x - 1) = (x + 2) M, find M
A
(x + 2)2
B
x(x + 2)
C
xv + 2
D
x2 - x
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
(x + 2)(x\(^2\) - 3x + 2) + 2(x + 2)(x - 1) = (x + 2)m
(x + 2)[(x\(^2\) - 3x + 2) + 2(x - 1)] = (x + 2)M
divide both side by (x + 2)
(x\(^2\) - 3x + 2) + 2(x - 1) = M
x\(^2\) - 3x + 2 + 2x - 2 = M
x\(^2\) - 3x + 2 + 2x - 2 = M
x\(^2\) - 3x + 2x = M
x\(^2\) - x = M
M = x\(^2\) - x
Source: Myschool Past Questions Archive (Record #36907)