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
Correct Answer: Option D
Explanation
(x = 2)(x2 – 3x + 2) + 2(x + 2)(x – 1) = (x + 2)m
(m + 2)[(x2 – 3x + 2) + 2(x – 1)] = (x + 2)M
divide both side by (x + 2)
(x2 – 3x + 2) + 2(x – 1) = M
x2 – 3x + 2 + 2x – 2 = M
x2 – 3x + 2 + 2x – 2 = M
x2 – 3x + 2x = M
x2 – x = M
M = x2 – x