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Question
If x + 1 is a factor of the polynomial 2x2 + kx, then the value of k is ______.
Options
–3
4
2
–2
Solution
If x + 1 is a factor of the polynomial 2x2 + kx, then the value of k is 2.
Explanation:
Let p(x) = 2x2 + kx
Since, (x + 1) is a factor of p(x), then
p(–1) = 0
2(–1)2 + k(–1) = 0
⇒ 2 – k = 0
⇒ k = 2
Hence, the value of k is 2.
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