Question

If x=1/2 is a root of the polynomial f(x)=2x3+ ax2-3x+2 find the value of a

Answer 1

since its a root therefore if we substitute x=1/2 then f(x)=0

f(1/2)=

2*1/2**3+a*1/2**2-3/2+2=0 (** represents 'to the power')

1/4+a-3/2+2=0

a=3/2-2-1/4

a=-3/4