Martin Delgado
05/23/2023 · Primary School

State the number of complex zeros, the possible number of real and imaginary zeros, the possible number of positive and negative zeros, and the possible for each function. Then find all zeros. \( f(x)=3 x^{4}+10 x^{2}-25 \)

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The function \( f(x) = 3x^4 + 10x^2 - 25 \) has 4 complex zeros, 2 real zeros, and 2 imaginary zeros. The real zeros are \( x = \frac{\sqrt{15}}{3} \) and \( x = -\frac{\sqrt{15}}{3} \), and the imaginary zeros are \( x = i\sqrt{5} \) and \( x = -i\sqrt{5} \).

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