book Maths Puzzle Numerical Ability

Please help me with this one. Thanks! Solve using the given root:
2z^3+z^2-8z+3=0; 3/2

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book Other Question

find the actual width of the doorway into the kitchen and the dining room if the scale is 2:24 and on the drawing the doorway is 1/4 of an inch. Multiply: [(1/5)a + (2/3)][(1/5)a – (1/6)]
I am having problems with this problem. can someone show me how to do this one.

Thanks alot.