Answer:
n = 217
Step-by-step explanation:
The quadratic expression that we have to factorize is 3x² + nx + 72.
So, we have to find factors of (3 × 72) i.e. 216.
Now, we can write 216 as
(1 × 216), Hence, 1 + 216) = 217
(2 × 108), Hence, 2 + 108 = 110
(3 × 72), Hence, 3 + 72 = 75
(4 × 54), Hence, 4 + 54 = 58
So on.
Therefore, to factorize 3x² + nx + 72, the maximum value of n which can be put in place of n to factorize the expression is 217. (Answer)
