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Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 已解決
Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 已解決 
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數學 因式 未知數 選擇題 (急
Sep 10th 2014, 10:58

設 f(x) = x³ - ax² + bx + 6 , 由因式定理,
f(1) = 1 - a + b + 6 = 0 ⇒ a - b = 7 , 只有 B 正確。
f(-2) = - 8 - 4a - 2b + 6 = 0
⇒ 2a + b = - 1
⇒ (a+b) + a = - 1 或 2(a+b) - b = - 1 , 兩式相加得
3(a+b) + a - b = - 2
3(a+b) + 7 = - 2
a+b = - 3 , 確定 B 正確。

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