If x³ + kx + 12 is completely divisible by (x + 3), then value of k is :यदि x³ + kx + 12, (x + 3) से पूर्णतः विभाजित है, तो k का मान है :

1. A5
2. B4
3. C−5
4. D3

Pick an option to check yourself, or open the answer below.

Show answer & explanation

Correct answer: C. −5

Explanation

By the factor theorem, put x = −3: (−3)³ + k(−3) + 12 = 0, so −27 − 3k + 12 = 0, giving k = −5.गुणनखंड प्रमेय से x = −3 रखने पर (−3)³ + k(−3) + 12 = 0, अर्थात् −27 − 3k + 12 = 0, जिससे k = −5।