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Question
The value of $$p$$ for which $$(x - p)$$ is a factor of $$x^3 - px^2 + x + 5$$ is ______.
Options
–5
–4
5
p + 5
MCQ
Fill in the Blanks
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Solution
The value of $$p$$ for which $$(x - p)$$ is a factor of $$x^3 - px^2 + x + 5$$ is –5.
Explanation:
Since $$f(p) = p^3 - p(p^2) + p + 5 = p + 5 = 0$$, we get $$p = -5$$.
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