Railways PYQCBT 1 2016

RRB NTPC · Question 1

Find the factors of (x^2 – x – 132)?

  1. (x – 11)(x – 12)

  2. (x + 12)(x – 11)

  3. (x + 11)(x + 12)

  4. (x – 12)(x + 11)

Show answer & explanation

Answer: (D) (x – 12)(x + 11)

Explanation

To factorise x² − x − 132, find two numbers whose product is −132 and whose sum is −1 (the coefficient of x). These are −12 and +11, since −12 × 11 = −132 and −12 + 11 = −1. So x² − x − 132 = (x − 12)(x + 11).