The factors of 3m^2 + 9m + 6 are: - Vidyadip

MCQ

The factors of $3m^2 + 9m + 6$ are:

A
$(m + 1) (m + 2)$
B
$6(m + 1) (m + 2)$
✓
$3(m + 1) (m + 2)$
D
$9(m + 1) (m + 2)$

✓

Answer

Correct option: C.

$3(m + 1) (m + 2)$

C. $3(m + 1) (m + 2)$
Solution:
$3m^2 + 9m + 6 = 3(m^2 + 3m + 2)$
$= 3 [m^2 + m + 2m + 2]$
$= 3 [m(m + 1) + 2( m + 1)]$
$= 3 [(m + 1) (m + 2)]$

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