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Factor Theorem

If x+5 is a f...

Question

If (x+5) is a factor of p $(x) = x^{3} - 20 x + 5$ k then k=?
(a) -5 (b) 5 (c) 3 (d)-3

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Solution

Put x=-5 in p(x)
$- 5^{3} - 20 (- 5) + 5 k = 0$
$5 k = 25$
$k = 5$

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