Question

The value of $$p$$ for which $$(x - p)$$ is a factor of $$x^3 - px^2 + x + 5$$ is ______.

विकल्प

• –5

• –4

• 5

• p + 5

Answer 1

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 $$p = -5$$.