PSAT Math Multiple-Choice Question 712: Answer and Explanation
Question: 712
If , what is the value of (3 - i )(4 + i )?
- A. 11 - i
- B. 12 + 7i
- C. 13 - i
- D. 13 + i
Correct Answer: C
Explanation:
(C) Use FOIL for this like you would anything else. When you FOIL the expression, you get:
12 + 3i - 4i - i2 = 12 - i - i2
Because , i2 = -1. Thus, we can rewrite our equation as:
12 - i -(-1)
Therefore, the final answer is 13 - i, which is choice (C).
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