Answer:
[tex]\frac{61}{8}[/tex]
Step-by-step explanation:
If a polynomial p(x) is divided by a factor (x + h ) then the remainder is
f(- h)
Here p(x)is divided by (x - [tex]\frac{1}{2}[/tex] ) thus evaluate p([tex]\frac{1}{2}[/tex] ) for remainder
p([tex]\frac{1}{2}[/tex] )
= ([tex]\frac{1}{2}[/tex] )³ - 2([tex]\frac{1}{2}[/tex] )² + 8
= [tex]\frac{1}{8}[/tex] - [tex]\frac{1}{2}[/tex] + 8
= [tex]\frac{61}{8}[/tex]
