​ if x = (1/2) is a zero of the polynomial f(x) = 8x^3 + ax^2 - 4x + 2, find the value of a ​

Question

if \(x=\frac{1}{2}\) is a zero of the polynomial f(x) = 8x³ + ax² - 4x + 2, find the value of a

Answer 1

if \(x=\frac{1}{2}\)

f \((\frac{1}{2})=8(\frac{1}{2})^{3}+a(\frac{1}{2})^{2}-4(\frac{1}{2})+2\)

\(0=1+\frac{a}{4}-2+2\)

a = - 4