If x−4 is a factor of p(x)=3x3+4x+k, which of the following statements is true ?
A
k = 208
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B
k = -208
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C
k is a positive integer
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D
2k - 2 = -418
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Solution
The correct options are B k = -208 D 2k - 2 = -418 Given, x−4 is a factor of p(x). By factor theorem, we have p(4)=0. ⇒3(43)+4(4)+k=0 ⇒208+k=0 ⇒k=−208 ∴ k is not a positive integer. And, 2k−2=2(−208)−2=−418