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Find the polynomial P(x) with interger coefficients that satisfy the following conditions: P(x) has the degree 4 with zeros 3,0 and -i

Mathematics
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x=3 => x-3 is a factor x=0 => x-0 is a factor x=-i => x-(-i) is a factor x=i => x-i is a factor P(x) has this form (x-a)(x-b)(x-c)(x-d) where a,b,c,d are the zeros It has this form because it is 4th degree Also since x=-i is a zero then x=i is one since we want real coefficients
Thanks it really helped alot

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