What is the value of a, if 3x2 + ax + a + 3 divisible by x + 2?

A 12

B 13

C 14

D 15

Solution

Correct Answer: Option D

ধরি, f(x) = 3x² + ax + a +3
যেহেতু, x + 2 দ্বারা বিভাজ্য সেহেতু,
f(-2) = 0 হবে
⇒ 3(-2)2 + a(-2) + a + 3 = 0
⇒ 12 - 2a + a + 3 = 0
⇒ - a + 15 = 0
⇒ a = 15

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