NumericalModerate1.5 marks
5(ii)
It is given that (x − 2) is a factor of polynomial 2x³ - 7x² + kx - 2 Find:
the value of ‘k’.
Topic: Remainder and factor theorem
Previous-year question practice database
Answer
Exam answer
k = 7
Explanation
Since x−2 is a factor, f(2)=0: 16−28+2k−2=0 ⇒2k=14 ⇒k=7.
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