Find the remainder when $f(x) = 2x^4 - 3x^3 + x^2 - 5x + 2$ is divided by $(x + 1)$.
A13CORRECT
B-13
C11
D-11
GCEFurther MathematicsPolynomials and Partial Fractions2021
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Why the answer is A, and why the others tempt you.
By the Remainder Theorem, the remainder is f(-1) = 2(1) - 3(-1) + 1(-1)² - 5(-1) + 2 = 2 + 3 + 1 + 5 + 2 = 13. The answer is 13.
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