What is the result of multiplying 8s2 - 6s + 2 by 4s - 1 ?
A. 14s - 2
B. 16s2 + 2s + 2
C. 32s3 - 16s2 + 2s + 2
D. 32s3 - 32s2 + 14s - 2
Answer:D
What is the result of multiplying 8s2 - 6s + 2 by 4s - 1 ?
A. 14s - 2 B. 16s2 + 2s + 2 C. 32s3 - 16s2 + 2s + 2 D. 32s3 - 32s2 + 14s - 2
Explanation: D Whenever there are variables in the question and in the answers, think Plugging In. If s = 2, the first expression becomes 8(22) - 6(2) + 2 = 8(4) - 12 + 2 = 32 - 12 + 2 = 22. Therefore, the first expression multiplied by the second expression is 22(7) = 154. Plug in 2 for s in the answers to see which choice equals the target number of 154. Choices (A), (B), and (C) yield 26, 70, and 198 respectively. Choice (D) yields 154 and is the correct answer.