MCQEasy1 mark
Select the correct option for each of the following questions.
The polynomial x³ - 2x² + ax + 12 when divided by (x + 1) leaves remainder 20, then 'a' is equal to
Topic: Remainder and factor theorem
Previous-year question practice database
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Answer
Exam answer
(d) a = −11.
Explanation
Remainder at x = −1 is 20: (−1)³ − 2(−1)² + a(−1) + 12 = 20 ⇒ 9 − a = 20 ⇒ a = −11.
In words
a = −11.
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