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Question
If x - 1 is a factor of the polynomial `3x^2 + mx ` then find the value of m.
Options
2
-2
-3
3
Solution
-3
Explanation:
Let p(x) = 3x2 + mx.
(x − 1) is a factor of p(x).
∴ p(1) = 0
⇒ 3 × (1)2 + m × 1 = 0
⇒ 3 + m = 0
⇒ m = −3
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