Given that (x + 2)(x 2 - 3x + 2) + 2(x + 2)(x -

MATHEMATICS
WAEC 2013

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. (x - 2)2
  • D. x2 - x

Correct Answer: D. x2 - x

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



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