ACT Math Practice Question #2108 (Medium) | Test Citadel
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ACT Math Difficulty: Medium

Digital ACT Math Practice Question #2108

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Which of the following polynomials has $(x + 2)$ as a factor?
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Socratic AI Engine Step-by-Step Derivation
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⚡ 15-Second Desmos Speed Hack

Test $x = -2$ into choices. $(-2)^3 + 3(-2)^2 - 4 = -8 + 12 - 4 = 0$. Done.

Masterclass Solution & Distractor Trap Analysis

By the Factor Theorem, $(x + 2)$ is a factor of $f(x)$ if and only if $f(-2) = 0$. For choice A: $(-2)^3 + 3(-2)^2 - 4 = -8 + 3(4) - 4 = -8 + 12 - 4 = 0$. Thus $(x + 2)$ is a factor....

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

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