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a) Factorise P(z)=z 6 +4z 3 +16 into linear factors over C. b) Find (1) the number of linear factors and (2) the number of

a) Factorise P(z)=z⁶+4z³+16 into linear factors over C.

b) Find (1) the number of linear factors and (2) the number of irreducible quadratic factors of P(z) when factorising over R.

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