book Maths Puzzle Numerical Ability

Write a polynomial function of least degree with integral coefficients whose zeros include 4 and 2i.

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Please help me!!!! I need to solve this for H:
2A-ha=hb

A)h=a-b/2A
B)h=2A/a-b
C)h=a+b/2A
D)h=2A/a+b

Please show me step by step how to figure this out...thanks
____8______ - ______7_____
y^2-16 y^2 - y- 12

I do not understand how to factor the demoninator to find a LCD.