美国高中数学:find a third degree polynomial with real coefficients
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美国高中数学:find a third degree polynomial with real coefficients that has 2 and 3-i as zeros.
![美国高中数学:find a third degree polynomial with real coefficients](/uploads/image/z/7899423-15-3.jpg?t=%E7%BE%8E%E5%9B%BD%E9%AB%98%E4%B8%AD%E6%95%B0%E5%AD%A6%EF%BC%9Afind+a+third+degree+polynomial+with+real+coefficients)
这个多项式就是(x-2)(x-3+i)(x-3-i) =(x-2)(x^2-6x+10)
再问: 为什么有(x-3-i)
再答: 实系数多项式的复根是成对出现的,有a+bi就有a-bi
再问: 为什么有(x-3-i)
再答: 实系数多项式的复根是成对出现的,有a+bi就有a-bi
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【老友记306】enough with the third degree