ACT Math Practice Question #2109 (Hard) | Test Citadel
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ACT Math Difficulty: Hard

Digital ACT Math Practice Question #2109

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What is the remainder when $3x^4 - 2x^2 + 5x - 7$ is divided by $(x + 1)$?
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Simply plug in $-1$: $3(1) - 2(1) - 5 - 7 = 1 - 12 = -11$.

Masterclass Solution & Distractor Trap Analysis

By the Remainder Theorem, the remainder is $f(-1)$. $f(-1) = 3(-1)^4 - 2(-1)^2 + 5(-1) - 7 = 3(1) - 2(1) - 5 - 7 = 3 - 2 - 5 - 7 = -11$....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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