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Answer:
a = 6
Step-by-step explanation:
as x = -1/2 is a zero of p(x) , then
p(-1/2) = 8(-1/2)^3 - a(-1/2)^2 - (-1/2) + 2 = 0
= -1 - a/4 + 1/2 + 2 = 0
= 1/2 + 2 - 1 -a/4 = 0
= 3/2 - a/4 = 0
=> 3/2 - a/4 = 0
=> a/4 = 3/2
=> a = 6
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