Math 2 Quiz
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ALGEBRA & FUNCTIONS
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Consider the family of quadratics ft(x)=x2+2tx+(t2+4)f_t(x) = x^2 + 2tx + (t^2 + 4) where tt is a real parameter. For which values of tt does ft(x)f_t(x) have no real x-intercepts, and what can be said about the complex roots?
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