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3. Consider the polynomial function [(2) = z\" + (5 of + {5 any (11+ 5m\" (on 11i}z' (no mi}: + are :5 cm. b. Show that the number :2 = -1 + v2 - is a ten: offlzl. Divide 1' [ti into a product of linear factors by performing suitable polynomial divisions. 41. Give an example of a polynomial function that has all of the following properties: the function has no rational zeros. the function has exactly two real zeros, the function has exactly four complex zeros. Verify your example. 5&quot