Find the remainder when (x3 – 2) is divided by (x – 1).What is the remainder?
Answer
A
–x2 – 2
B
x2 – 2
C
–2
D
–1
Explanation
By the Remainder Theorem, dividing a polynomial f(x) by x − 1 leaves the remainder f(1). For f(x) = x³ − 2, f(1) = 1³ − 2 = −1, so the remainder is −1 (choice D).
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