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FTCE General Knowledge Review: Solving a factorable quadratic equation

Review solving a factorable quadratic equation for this FTCE General Knowledge question with the key prompt clue, correct-answer reasoning, distractor checks, and sources to verify next.

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This question-specific review guide is tied to the answer reasoning for a PracticeTestVault item. Use it after you answer the question so the review stays focused on what the prompt actually tested.

What this question is testing

Objective: Solving a factorable quadratic equation

Prompt focus: Review the prompt, identify the command word, and connect the facts to the tested objective.

Why the correct answer works

x = 8 or x = 11

The quadratic factors as (x – 8)(x – 11), so its zeros are 8 and 11.

Why the tempting wrong answer fails

The tempting wrong answer usually loses because it skips the key condition, priority, or evidence in the prompt.

Plain-language takeaway

Review this skill: Solving a factorable quadratic equation. Use the stem's deciding facts, then verify the choice against the units, timing, evidence, or safety condition stated in the question.

Simple analogy

Think of solving a factorable quadratic equation like following a short checklist: identify the clue, confirm the rule, and then make the move that fits this exact scenario.

How to review it before a retake

  • Underline the command word and name what the question is asking before rereading the choices.
  • Compare the correct answer against the closest distractor and write the exact detail that separates them.
  • Retest this objective with a fresh question without looking at the rationale first.

Sources to verify next