MCQEasy1 mark
Select the correct option for each of the following questions.
If (x + 2) is a factor of the polynomial x³ - kx² - 5x + 6 then the value of k is:
Topic: Remainder and factor theorem
Previous-year question practice database
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Answer
Exam answer
(b) k = 2.
Explanation
By the Factor Theorem, substitute x = −2 in x³ − kx² − 5x + 6. The remainder is 0, giving −8 − 4k + 10 + 6 = 0 ⇒ k = 2.
In words
k = 2.
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