If you have a coil and a capacitor in series and put an AC signal across the series pair, the voltage across each of them will rise a lot at resonance, especially if the coil has low resistance.
So, you can choose if you take the output across the capacitor or the coil. It will be a much magnified version of the input.
You probably could use bipolar electrolytics, but the circuit you used them in might not have a very good resonance.
This is because large capacitors (which these capacitors are ) need a very large current through them to develop big voltages.
So, unless you can deliver such currents, you are better off calculating your resonance so that the components have a reactance of at least 200 ohms.
For example, a capacitor of 0.796 uF and a coil of 31.8 mH would resonate at about 1000 Hz and could give quite a good resonance.
You could resonate at 1000 Hz with 15.9 uF and 1.59 mH but the resonance would be very poor if you only had a signal generator to put the AC across the circuit.
In the first case, the components have a reactance of 200 ohms. In the second, 10 ohms.
The 15.9 uF capacitor could be a bipolar electrolytic but it would also have to have low ESR which is Equivalent Series Resistance.
If you are thinking of trying this, the output resistance of the signal generator appears in series with the tuned circuit, so you would normally put a small resistor across the signal generator. Maybe 10 ohms or so.
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