🎓 CLEP Exam Prep

Simplify the expression (2 - 3i)(1 + 4i).

A 14 - 5i
B 14 + 5i
C -10 - 5i
D 2 - 12i

✓ Correct Answer: Option B

Use the FOIL method: (2)(1) + (2)(4i) + (-3i)(1) + (-3i)(4i) = 2 + 8i - 3i - 12i^2. Substitute i^2 = -1 to get 2 + 5i + 12 = 14 + 5i.

💡 Why is B) the correct answer?

The correct answer to the question "Simplify the expression (2 - 3i)(1 + 4i)." is Option B: 14 + 5i.

The other options — A) 14 - 5i, C) -10 - 5i, D) 2 - 12i — are incorrect for this CLEP Exam Prep question. As explained above: Use the FOIL method: (2)(1) + (2)(4i) + (-3i)(1) + (-3i)(4i) = 2 + 8i - 3i - 12i^2. Substitute i^2 = -1 to get 2 + 5i + 12 = 14 + 5i.

📚 About This CLEP Exam Prep Practice Question

This 2-level CLEP Exam Prep question from the College Algebra topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free CLEP Exam Prep practice test or use flashcards for spaced repetition review.

Related CLEP Exam Prep Questions