Explanation

Again the best strategy is plugging values. Take an odd integer say 1. For simplicity and put the values


A) \(x^2\) — x — 1 = 1 - 1 -1 = -1

B) \(x^2\) — 4x + 6 = 1 -4 + 6 = 3

C) \(x^2\) — 5x + 5 = 1 -5 +5 = 1

D) \(x^2\) + 3x + 8 = 1 + 3 + 8 = 12

E) \(x^2\) + 2x + 10 = Don't need to evaluate this. You already have your answer.


Hence D is correct.


Note: During plugging values if you have found an answer the do not continue plugging in other options. This is very important time saving tactic.
Also keep in mind when a question has very generic statements like all integers satisfy "Expression..." It is highlly likely that plugging values is the best strategy.
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Sandy
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You are correct I should have plugged an even and an odd integer!
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Sandy
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