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Question
If \[x = \frac{1}{2}\] is a zero of the polynomial f(x) = 8x3 + ax2 − 4x + 2, find the value of a.
Solution
Since `x = 1/2`is a zero of polynomial f(x).
Therefore `f(1/2) = 0`
` ⇒ 8(1/2)^3+ a(1/2)^2 - 4(1/2) + 2 = 0`
`⇒ 1 + a / 4 - 2 +2 = 0`
⇒` a = -4`
The value of a is -4.
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