Sarthaks Test
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Find the value of k, if x − 1 is a factor of p(x) in each of the following cases:

p(x) = x2 + x + k

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If x − 1 is a factor of polynomial p(x), then p(1) must be 0.

p(x) = x2 + x + k

p(1) = 0

⇒ (1)2 + 1 + k = 0

⇒ 2 + k = 0

⇒ k = −2

Therefore, the value of k is −2.

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