16Hit1600
Advanced MathVery hardRemainder from the remainder theorem

Advanced Math practice question

What is the remainder when x³ + 2x² − 5 is divided by x − 1?

Answer: -2

By the remainder theorem, the remainder is the value of the polynomial at x = 1: 1 + 2 − 5 = −2.

Common wrong answers

If you answered 2
2 has the wrong sign: 1 + 2 − 5 = −2.
If you answered -4
−4 comes from evaluating at x = −1 (−1 + 2 − 5); the divisor x − 1 calls for x = 1.
If you answered -5
−5 is the constant term, which is the remainder on division by x, not by x − 1.

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