Factorize \(x^2 + 2a + ax + 2x\)
 

  • A (x + 2a)(x + 1)
  • B (x + 2a)(x - 1)
  • C (x2 - 1)(x - a)
  • D (x + 2)(x + a)
jamb 1986mathematics

The correct answer is D. (x + 2)(x + a)

Given that \(x^2 + 2a + ax + 2x\), we can factorize this expression as follows:

\(x^2 + 2a + ax + 2x\)

= \(x^2 + ax + 2x + 2a\)

= x(x + a) + 2(x + a)

= (x + 2)(x + a)

Hence, the expression \(x^2 + 2a + ax + 2x\) can be factorized completely as (x + 2)(x + a).

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