Question

Find the factors of 3m² + 9m + 6.

Answer 1

We notice that 3 is a common factor of all the terms.

Therefore,

3m² + 9m + 6 = 3(m² + 3m + 2)

(m² + 3m + 2) = m² + m + 2m + 2          ......(as 2 = 1 × 2)

                        = m(m + 1) + 2(m + 1)
                        = (m + 1)(m + 2)

3m² + 9m + 6 = 3(m + 1)(m + 2).