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Question
If 3x2 + kx − 2 is exactly divisible by x − 1, then the value of k is ______.
Options
1
−1
2
−2
MCQ
Fill in the Blanks
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Solution
If 3x2 + kx − 2 is exactly divisible by x − 1, then the value of k is −1.
Explanation:
Let f(x) = 3x2 + kx − 2
f(1) = 0
⇒ 3(1)2 + k(1) − 2 = 0
⇒ 3 + k − 2 = 0
⇒ k + 1 = 0
⇒ k = −1
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